The value of the double integral is [tex]$-\frac{\pi}{12}$[/tex].
We are given that;
∫∫D^y^dA where d is the set of points (x, y)
0 ≤ 2x/ π ≤ y, y ≤ sin x
Now,
We can see that x varies from 0 to [tex]\pi[/tex], and for each fixed x, y varies from [tex]\frac{2x}{\pi} to \sin x[/tex]. Therefore, we can write the double integral as:
[tex]$$\iint_D y \, dA = \int_0^\pi \int_{\frac{2x}{\pi}}^{\sin x} y \, dy \, dx$$[/tex]
Now we can evaluate the inner integral with respect to y:
[tex]$$\int_{\frac{2x}{\pi}}^{\sin x} y \, dy = \frac{y^2}{2} \bigg|_{\frac{2x}{\pi}}^{\sin x} = \frac{\sin^2 x}{2} - \frac{2x^2}{\pi^2}$$[/tex]
Plugging this result into the outer integral, we get:
[tex]$$\iint_D y \, dA = \int_0^\pi \left( \frac{\sin^2 x}{2} - \frac{2x^2}{\pi^2} \right) dx = \frac{1}{4} \int_0^\pi (1 - \cos 2x) dx - \frac{2}{\pi^2} \int_0^\pi x^2 dx$$[/tex]
Using the antiderivatives of [tex]\cos 2x[/tex] and x^2, we get:
[tex]$$\iint_D y \, dA = \frac{1}{4} (x - \frac{1}{2} \sin 2x) \bigg|_0^\pi - \frac{2}{\pi^2} (\frac{x^3}{3}) \bigg|_0^\pi =\frac{\pi}{4} - 0 - 0 + 0 - \frac{2}{\pi^2} (\frac{\pi^3}{3}) + 0 =\frac{\pi}{4} - \frac{2\pi}{3} =-\frac{\pi}{12}$$[/tex]
Therefore, by integral the answer will be [tex]$-\frac{\pi}{12}$[/tex].
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An atlas beetle is about 0.15 meter long. How does the length of the atlas beetle compare to the length of a leafcutting bee which is 0.015
If an atlas beetle is about 0.15 meters long then the length of the atlas beetle is 10 times the length of a leafcutting bee which is 0.015.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length of atlas beetle = 0.15 meter
Length of leafcutting bee = 0.015 meter
Now,
0.015 x 10 = 0.15
This means,
The length of the atlas beetle is 10 times the length of a leafcutting bee
Thus,
The length of the atlas beetle is 10 times the length of a leafcutting bee.
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Please help me with this math problem!! Will give brainliest!! :)
Answer:
Step-by-step explanation:
Last year: $85
This year: 85 + 85(0.16) = $98.60
Year after that: 98.60 + 98.60(0.16) = $114.38
find the general solution to the following differential equation y'' 2y' y = 8e^-t
The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by: y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t.
The general solution to the differential equation y'' - 2y' + y = 8e^-t can be found using the method of characteristic equations.
The characteristic equation is obtained by substituting y = e^rt into the differential equation: r^2e^rt - 2re^rt + e^rt = 8e^-t
Expanding the left side:
r^2e^rt - 2re^rt + e^rt = 8e^-t
r^2e^rt - 2re^rt + (1-8)e^rt = 0
Solving for the characteristic equation:
(r-4)(r+2) = 0
The characteristic equation has two roots, r = 4 and r = -2. These roots correspond to the two linearly independent solutions of the differential equation:
y = c1e^(4t) + c2e^(-2t)
where c1 and c2 are arbitrary constants.
Therefore, The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by:
y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t
where c1 and c2 are arbitrary constants determined by initial conditions or boundary conditions.
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What is the area of this quadrilateral?
OA. 28 square centimeters
OB. 20 square centimeters
OC. 22 square centimeters
OD. 14 square centimeters
The area of the quadrilateral is 14 square centimeters.
What is the area of the quadrilateral?The quadrilateral is made up of two triangles.
Area of a triangle is expressed as;
1/2 × base × height.
Given that;
For the upper triangle
Base = 4cmHeight = 4cmFor the lower triangle
Base = 4cmHeight = 3cmThe area of the quadrilateral will be the sum of the area of the two triangles.
Area of quadrilateral = Area of upper triangle + Area of lower triangle
Area of quadrilateral = ( 1/2 × 4 × 4 ) + ( 1/2 × 4 × 3 )
Area of quadrilateral = ( 2 × 4 ) + ( 2 × 3 )
Area of quadrilateral = ( 8 ) + ( 6 )
Area of quadrilateral = 14cm²
Therefore, the area is 14cm².
Option D) 14 square centimeters is the correct answer.
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let vectors a⃗ =(2,−1,1), b⃗ =(3,0,5), and c⃗ =(1,4,−2), where (x,y,z) are the components of the vectors along i^, j^, and k^ respectively. calculate the following:
To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.
[tex]a) a⃗ +b⃗ = (2 + 3, -1 + 0, 1 + 5) = (5, -1, 6)\\b) a⃗ -c⃗ = (2 - 1, -1 - 4, 1 - (-2)) = (1, -5, 3)\\c) b⃗ -c⃗ = (3 - 1, 0 - 4, 5 - (-2)) = (2, 4, 7)\\d) 2a⃗ +3c⃗ = (2*2 + 3*1, -1*2 + 3*4, 1*2 + 3*(-2)) = (6, 6, -3)[/tex]
In 3-dimensional vector calculations, it is important to consider the components of the vectors along i^, j^, and k^. To calculate the sum of two vectors[tex]a⃗ , b⃗[/tex], we simply add the components of the vectors along all directions. Similarly, we can subtract two vectors by subtracting the components of the vectors along all directions. To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.
The complete question is :
Given the three 3-dimensional vector [tex]a⃗ =(2,−1,1), b⃗ =(3,0,5), and c⃗ =(1,4,−2)[/tex], where (x,y,z) are the components of the vectors along [tex]i^, j^, k^[/tex]respectively, calculate the following:
[tex]a) a⃗ +b⃗\\b) a⃗ -c⃗\\c) b⃗ -c⃗\\d) 2a⃗ +3c⃗[/tex]
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a flood has an annual recurrence probability of 0.06. what is the return period of the flood? report your answer to the nearest year, typing no words or letters.
the return period time of the flood is 1/0.06 = 100 years.The return period of the flood is 100 years.
Recurrence probability is the probability of an event occurring over a period of time. The return period is the expected length of time between occurrences of an event. To calculate the return period, divide 1 by the recurrence probability.
Therefore, the return period time of the flood is 1/0.06 = 100 years.
The return period of the flood is 100 years.
To calculate the return period of the flood, we need to take the inverse of the recurrence probability. For example, if the recurrence probability of the flood is 0.06, the return period of the flood is 100 years (1/0.06 = 100). This means that the flood is expected to occur once every 100 years on average.
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Can someone help for points and star
The function g(x) = 1/x -2 has an inverse, g(x)=1/x+2. Every function has a domain and a career competencies .
what is function ?Substances and their modifications, equations with supporting structures, shapes and corresponding placements, and destinations where they can be found are all included in the study of mathematics. The association between a group of inputs, each of which produces related output, is referred to as a "function." A function is a relationship involving inputs and outputs where each input produces a single, unique result. Every function has a domain and a career competencies, often known as a scope. F is typically used to signify functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, yet another functions, many-to-one functions, within functions, and on functions.
given
y=1/x−2
Swap out the variables.
x=1/y−2
Solve for y.
y=1/x+2
To display the complete solution, swap out y with g1/(x).
g−1/(x)=1/x+2
Check to see if g(x) = 1/x+2 The opposite to g(x)=1/x2.
The function g(x) = 1/x -2 has an inverse, g(x)=1/x+2.
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Write an equation for this line.
an equation for the given line in the Graph will be y + 2 = 0 for all real values of x.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a graph of a line That is Perpendicular to the x-axis. (as we can see in the graph)
Thus the equation of the line will be,
Y = c
where c is constant.
In our case,
c = -2 (y-intercept)
thus,
The equation of the line will be y = -2
therefore, an equation for the given line in the Graph will be y + 2 = 0 for all real values of x.
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imagine you had two histograms, one was very wide and spread out, the other was very narrow with a very tall peak. which histogram would you expect to contain more consistent numbers (numbers that are close to each other), explain why.
The histogram with the narrow peak would be expected to contain more consistent numbers.
This is because the width of a histogram reflects the variability of the data that it represents. A histogram with a wide spread indicates that the data values are spread out and vary greatly, while a histogram with a narrow peak indicates that the data values are relatively consistent and cluster close together.
In a histogram with a widespread, the difference between the highest and lowest data values is large, indicating that the values are inconsistent and vary widely. On the other hand, in a histogram with a narrow peak, the difference between the highest and lowest data values is small, indicating that the values are more consistent and cluster closely together.
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WILL GIVE BRAINLIEST, PLEASE HELP
Which of the following tables represents a relation that is a function?
x y
3 −2
3 −1
3 0
3 2
3 2
x y
−3 3
−1 3
0 3
0 −3
2 3
x y
−4 −3
−3 1
−2 −4
1 1
1 −2
x y
−2 0
−1 2
0 1
2 0
5 2
Table 2 is a many-one function and table 4 is also a many-one function.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
We know a relation is not a function if two distinct ordered pairs have the same first coordinate.
The first table is not function as preimage 3 has two images namely
0 and 2.
The second table is a function and it is a many-one function.
A many one functions is a function in which the same preimages have different images.
The third table is also not a function as preimage 3 has two distinct images.
The fourth table is also a many-one function.
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Do females have testis
Answer + Explanation:
First of all, odd question but okay. Anyways, no, females do not have testes. Testes are male reproductive organs that produce sperm and hormones such as testosterone. Females have ovaries, which produce eggs and hormones such as estrogen.
Answer:
some have like 2out of 100
please help, im sleep deprived and mentally unstable. a 51 year old patient complains of a recent onset of tingling and weakness in the legs, stating that he occasionally loses feeling in his legs and has trouble breathing. he also struggles with bladder control
These drugs may help with urge incontinence and can soothe an overactive bladder. Tolterodine (Detrol), darifenacin (Enablex), fesoterodine (Toviaz), solifenacin (Vesicare), and trospium chloride are a few examples.
What is stress incontinence about?When you cough, laugh, sneeze, run, or do heavy lifting, the strain (stress) on your bladder causes you to leak urine. This condition is known as stress incontinence. There is no connection between stress incontinence and emotional stress.
The most prominent symptom of stress incontinence is leaking pee while your bladder is under pressure. You may experience mild stress incontinence and leak pee while engaging in vigorous exercise, laughing, coughing, or sneezing.
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I'm sleep deprived and mentally unstable. a 51 year old patient complains of a recent onset of tingling and weakness in the legs, stating that he occasionally loses feeling in his legs and has trouble breathing. he also struggles with bladder control. What medication can be used?
If a light beam strikes the inside of a fiber optic cable, it bounces off at the same angle. If a cable is 1,200 micrometers long and the beam strikes the wall after 720 micrometers, then what distance x+y does the beam travel?
If a light beam strikes the inside of a fiber optic cable, it bounces off at the same angle, The distance travel by the beam is 1300 micrometer.
Given: If a light beam strikes the inside of a fiber optic cable, it bounces off at the same angle.
In a cable 1,200 micrometers long if the beam strikes the wall after 720 micrometer.
Since, The two right angles formed,
In the larger triangle, the value of x is found using the Pythagorean theorem, [tex]x^{2} = 300^{2} + 720^{2}[/tex]
x = [tex]\sqrt{}[/tex]608400
x = 780 micrometer
Now, let us find the value of y.
The two angles of the smaller right angle triangle are congruent to the two angles of the lower right angle triangle.
Since, the angles on the right angle triangle are congruent then the triangles are similar.
y/x = 480/720
y = 520 micrometer
The distance travel by the beam is 780 + 520 = 1300 micrometer
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An eagle is flying at an elevation
15
1515 meters above the ground. A gyrfalcon is flying at an elevation
23
2323 meters above the ground.
An eagle is flying at an elevation 15 meters above the ground. A gyrfalcon is flying at an elevation 23 meters above the ground.
Write an inequality that correctly compares the elevations
The eagle is flying at a lower elevation than the gyrfalcon, and the inequality for the elevation is
y - x > 8
How The answer was obtainedLet the eagle is flying at an elevation = x meter
and gyrfalcon is flying at an elevation = y meters
then difference in their elevations = (y-x) meters
The inequality which compares the elevations will bey - x > 23 - 15
y - x > 8
If gyrfalcon is flying at 23 meters and eagle at 15 meters then the description which is correct.The eagle is flying at a lower elevation than the gyrfalcon.
Falcons called gyrfalcons are enormous. Although their wings are pointed, they are neither as slender or as sharp as the wings of lesser falcons.
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Dinah went out to eat at a restaurant. She wants to leave the waitress a tip of 18%. She can
determine the amount she should pay by adding the total amount of the bill (b) to 18% of
b + 18% xb
Which expression shows another way that Dinah can calculate the total amount she will pay,
including tip? *
Dinah can calculate the total amount she will pay, including tip, by adding the bill amount to 18% of the bill amount. Mathematically, this can be represented as 1.18b.
As per the data given in the question,
Percentage tip was given to waiter= 18%.
Let the total amount spent on food = b
So, the amount given to the waiter will be: 18% of b
So, for finding the amount we will first remove the percentage sign, for removing the percentage sign we will divide the given number by 100.
Thus, the amount given to waiter will be
=(18/100)*b
= 18b/100
=0.18b
So, the total amount spent will be equal to b+0.18b = 1.18b
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what is the correct mathematical translation of the following sentence: ""w is the integral of f with respect to distance (x).""?
f's x-dependent integral is identical to w; f(x)dx = w
The integral of f with respect to x is equal to w, which is the mathematical translation of the statement "w is the integral of f with respect to distance (x)". This can be mathematically stated as f(x)dx = w, where f(x) is a function of x, dx represents an infinitesimal change in x, and is the integral symbol.
The area under a function's curve, or integral, can be thought of as the accumulation of infinitesimally tiny slices of the function. The integral of f with respect to x in this situation equals w. This indicates that when the function f(x) is integrated with respect to x, w is equal to the sum of all the infinitesimally small slices.
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A blue whale has a heart that pumps 220 liters of blood every 10 seconds.
a. How much blood does the heart pump in 15 seconds?
330 liters of blood in the heart pump in 15 seconds as per the given ratio.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, A blue whale has a heart that pumps 220 liters of blood every 10 seconds.
Since a whale pumps 220 liters of blood every 10 seconds.
Whale pumps blood in 10 seconds = 220 liters
So,
Whale pumps blood in 1 seconds = 220/10 liters
Whale pumps blood in 1 second = 22 liters
Thus,
Whale pumps blood in 15 seconds = 22 * 15 liters
Whale pumps blood in 15 seconds = 330 liters
Therefore, 330 liters of blood in the heart pump in 15 seconds.
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Answer:e
Step-by-step explanation:e
A television is on sale for 15% off. The original price was $459. What is the sales price of the television?
Answer: $68 .85
Step-by-step explanation:
15/100 x 459/1
Simpify the 15/100 to 3/20
3/20 x 459/1
3 x 459 = 1377
1377/20 = $68 . 85
Hope that is correct
The Pythagorean theorem states that for any given right triangle, a2+b2=c2. Using Pythagorean theorem, what should be the relationship between the areas of three squares
The size of the square of c is equal to the sum of the squares of a and b.
What is Pythagoras theorem?
The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem.
When we know the values of at least two sides of a right angle triangle, we can apply this theorem to compute the missing side.
Due to that
[tex]c^{2} =a^{2} +b^{2}[/tex]
This denotes a relationship where the area of a square with one side is equal to the sum of a square with two sides. In other words, the square of c has the same area as the sum of the squares of both a and b.
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Which tatement i true about the product of the mixed number one and eleven twelfth and 14,649? It i le than 1 becaue mixed number one and eleven twelfth i a fraction le than 1. B
It i greater than the fraction one twelfth of 14,649 becaue mixed number one and eleven twelfth ha a denominator of 12. C
It i greater than 11 time 14,649 becaue the mixed number one and eleven twelfth ha a numerator of 11. D
It i greater than 14,649 becaue the mixed number one and eleven twelfth i a fraction greater than 1
It i greater than the fraction one twelfth of 14,649 becaue mixed number one and eleven twelfth ha a denominator of 12. C is true statement.
How can a mixed fraction's product be determined?Create an incorrect fraction from the jumbled number in step 1. Multiplying the fraction's denominators and numerators together is step two. Step three is to, if necessary, simplify it.There is a fraction with an upper value (numerator) and a lower value (denominator) (lower value).The fraction is known as a proper fraction when the numerator is smaller than the denominator and as an improper fraction otherwise.An improper fraction is one that is more than one, whereas a proper fraction is one that is less than one.A mixed fraction combines a correct fraction with a sum of whole numbers.To learn more about mixed number refer to:
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How many miles per hour are 80 kilometers per hour?
1 kilometer is equivalent to 0.621371 miles. 80 kilometers per hour is equivalent to 49.7097 miles per hour.
What is the speed of an object?
The distance an object travels in a unit of time is its speed. By dividing the distance traveled by an object by the time needed to travel that distance, one can determine its speed. As a result, this car will travel at a speed of 41 kilometers per hour.
Given that the speed of an object is 80 kilometers per hour.
It can be written like 80 kilometers/ 1 hour.
As 1 kilometer = 0.621371 miles
Multiply 0.621371 miles with 80 kilometers:
80 kilometers/ 1 hour = (80 × 0.621371) miles/ 1 hour.
80 kilometers/ 1 hour = 49.7097 miles/ 1 hour.
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How many centimeters are equal to 1 inch?
Answer:
multiply the length value by 2.54
so the answer is 2.54
2.54 centimeters are equal to 1 inch. The solution has been obtained by using the unit conversion.
What is unit conversion?
The same characteristic is stated in a different unit of measurement by using a unit conversion. If you want to represent time or distance, for example, you could use feet rather than hours to indicate the time or the distance, respectively. Measurements are frequently requested in a different set of units than those they are delivered in, such as chains, but are provided in a different set, such as feet.
We are given 1 inch which is to be converted into centimeters.
Since,
⇒1 inch = 0.0254 meters
So,
⇒1 inch = 2.54 centimeters
Hence, 2.54 centimeters are equal to 1 inch.
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4. What is the total perimeter of this figure?
Show or explain your thinking.
Answer:
41.1 cm
Step-by-step explanation:
1) Find the perimeter of the visible rectangle...
4 + 4 + 4 + 4 = 16or 4 × 4 = 161) Find the perimeter of semicircles
We can put the semicircles together to make a whole circle so instead of finding the perimeter of both semicircles separately we can find the perimeter of a whole circle with radius 4.
Circumference of circle = 2πr2 × π × 4 = 25.1327412287We won't round up or down until the final step to get a more accurate answer!3) Add the results
25.1327412287 + 16 = 41.132741228741.1!!!Have a lovely day :)
Total Perimeter of the figure is 41.13274 cm
Given that,
Length of a side = 4 cm
Now,
There are two semi circles being formed in the figure. If we add both it will form a circle.
The perimeter of the circle = Circumference of the circle
Circumference = 2 π r ( r = 4 cm i.e. a side)
= 2 π * 4
= 8 π cm
and the four sides of the figure that are left, form a square,
so, the perimeter of the square = 4 * side
= 4 * 4 = 16 cm
Total Perimeter = 8π +16
= 41.13274 cm
Therefore, Total Perimeter of the figure is 41.13274 cm
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Which choice is equivalent to the product below when x ≥ 0?
√4x² √20x²²
Answer:
Step-by-step explanation:
c
y = 4*5 ^7
In the exponential above what is the value of the growth factor?
Answer:
312,500
Step-by-step explanation:
5x5x5x5x5x5x5= 78,125
78,125x4= 312,500
Lope harvested 163. 5 kilos of pomelos while marcon harvested 362. 75 kilos of pomelo from their farm who harvested more pomelos? by how much more
Marcon harvested more pomelos than Lope, by 199.25 kilos.
To calculate this, we need to subtract the amount harvested by Lope from the amount harvested by Marcon.
First, we need to convert the amounts into the same unit of measure. Both amounts are in kilos, so no conversion is needed.
Next, we can subtract the amount harvested by Lope from the amount harvested by Marcon: 362.75 kilos - 163.5 kilos = 199.25 kilos.
This means that Marcon harvested 199.25 kilos more pomelos than Lope.
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find an equation of the plane through the point (5,−5,−1)(5,−5,−1) with normal vector n=⟨−5,5,−3⟩n=⟨−5,5,−3⟩.
The equation of the plane is -5x + 5y - 3x = 25.
What is the equation of the plane?
A plane in mathematics is a flat, two-dimensional surface that extends infinitely in all directions. The equation of a plane is a mathematical representation that defines the position of the plane in space. It can be used to describe the relationship between the coordinates of the points that lie on the plane.
The equation of a plane can be found using the point-normal form, which is given by:
ax + by + cz = d
where (a,b,c) is the normal vector and (x,y,z) are the coordinates of a point on the plane.
In this case, we have the normal vector n = ⟨−5,5,−3⟩ and a point on the plane (5,−5,−1). To find the equation of the plane, we first need to find d, which can be found by substituting the coordinates of the point into the equation:
d = −5 * 5 + 5 * (−5) + −3 * (−1) = 25
So the equation of the plane can be expressed as:
-5x + 5y - 3z = 25.
Hence, the equation of the plane is -5x + 5y - 3x = 25.
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given a circle with the equation (x-7)^2+(y+3)^2=25 list the center and the radius of the circle
The required center of the circle is at (7, -3) and the radius of the circle is 5.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
Given the equation of the circle:
(x-7)² + (y+3)² = 25
Compare the equation with the standard equation
Center of the circle
(-h, -k) = (-(-7), -(3))
(-h, -k) = (7, -3)
Radius,
r² = 25
r = 5
Thus, the required center of the circle is at (7, -3) and the radius of the circle is 5.
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Look at the image, can I get help with this work sheet?
Answer:
For 2:The y intercept is whatever the y coordinate is when x = 0. Basically, where does the line hit the line going up and down? For number two, the y intercept is negative 3.
Slope intercept form y = mx + b
m = slope
b is y intercept
so far its
y = mx - 3
the slope is how many time you have to go up and over to get to the next number. Rise/run. For 2, the slope is negative! It is - 1/1 so
y = -1x - 3 is the first equation
For 3, the y inttercept is 0! so
y = mx + 0
or just y =mx
The slope is going to be negative
1/2
so - 1 / 2
y = -1/2x +0 or just y = -1/2x
Next one 4 is a positive slope. y intercept is 4
slope is 3 /1 or just 3
y = 3x + 4
5 is negative slope as well :)
The y intercept is 3
The slope is - 1/3
y = - 1/3x + 3
for 6, it is going to be a positive slope
y intercept is -3
Sloep is 2/1 so
y = 2x - 3
Step-by-step explanation:
NEED HELP WITH THIS PROBLEM 20 POINTS!
Applying the volume of cone, the larger cone will hold 15.17 cubic inches more water than the smaller cone.
What is the Volume of a Cone?Volume = 1/3(πr²h), where r is the radius and h is the height of the given cone.
Find the volume of each cone and calculate their difference to solve the given problem.
Volume of the larger cone = 1/3(πr²h) = 1/3(π·2²·6) ≈ 25.13 cubic inches
Volume of the smaller cone = 1/3(πr²h) = 1/3(π·1.5²·4) ≈ 9.42 cubic inches
Thus, the difference is: 25.13 - 9.42 = 15.71 cubic inches
This means that, the larger cone will hold 15.17 cubic inches more water than the smaller cone.
Learn more about the volume of cone on:
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