The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth. A. 465.10cm3 B. Please select the best answer from the choices provided A B C D
Answers
Answer:
489.40 cm³
Step-by-step explanation:
Since the cross section is parallel to their respective bases, hence:
Area of the cylinder cross section = area of the circular base = πr²
where r is the radius of the cylinder base.
Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm
Since both cross sections have same area, hence:
Area of cylinder cross section = Area of rectangle base
πr² = 8.1 * 3.8
r² = 9.8
r = 3.1 cm
Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³
Related Questions
Estimate the measure of the following angles
Answers
Answer:
For A I'd say about 100° and for B about 150° (This is just my estimation)
Step-by-step explanation:
A is almost a right angle but a little more than 90°.
B is almost a straight/flat angle but it's less than 180°.
Answer:
a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)
b. around 230
Step-by-step explanation:
what’s the difference between the area of the larger circle and the area of the smaller circle? in pi
Answers
Answer:
105 pi m^2
Step-by-step explanation:
radius squared - radius squared =
(16+3)^2 - 16^2 =
19^2 - 16^2 =
361-256= 105
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answers
Answer:
Step-by-step explanation:
120 : 30
ivans get £90 more
Please answer i will give brainliest
Answers
Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.
Answers
Answer:
192 cm
Step-by-step explanation:
length of the ribbon needed = perimeter of right angled triangle x 2
to determine perimeter, the value of the hypotenuse needs to be known
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
32² + 24²
= 1024 + 576
= 1600
square root = 40
length of rope = 2 x (40 + 32 + 24) = 192
5x^2-9x+4=0 zero product property
Answers
Answer: x = 1, 4/5
Step-by-step explanation:
I just factored this out
(x-1)(5x-4)= 0
x = 1, 4/5
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2). Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
Answers
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope line AB
we have
A(-4,-2),B(4,2)
substitute the values in the formula
step 2
Find the slope line CD
we have
C(-4,0),D(4,-4)
substitute the values in the formula
step 3
Find the slope line FG
we have
F(-3,-3),G(0,3)
substitute the values in the formula
step 4
Find the slope line HJ
we have
H(-1,3),J(1,-1)
substitute the values in the formula
step 5
Compare the slopes
we have
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
The slope of a line perpendicular to a line that has a slope of One-half must be negative 2
therefore
The line is HJ
i used to describe a food item having a spicy or salty quality without being sweet?
Answers
Answer:
UMAMI I think may be the answer to your question
9. Is the relation shown in the table a
function?
х
1
4
5
10
y
2
-1
-6
-1
Answers
Answer:
obvious answer, no
Step-by-step explanation:
specific and scientific answer:
the first input 1 equals 2, which could mean both +1 or times 2
but when there is input of 4 and an out-put of -1, it starts to not make sense
basically the first input is always going to be your control group for science experiments or the one that stays the same and judges
1. Convert the quinary number 42 into binary number.
Answers
Answer:
42 in binary number is 101010.
How can we do this math problem?
Answers
Answer:
b) 92
Step-by-step explanation:
1. if according to the condition the triangle is equilateral, then every inside angle (m∠F=m∠G=m∠H) is 60°.
2. it is possible to substitute the value 60 (F=60) into the given equation:
[tex]60=(\frac{Z}{2}+14);[/tex]
3. if to solve the equation above, then Z=92
Circle o has diameter AB and chord AC. Calculate the measure of 2 CAB if BC = 62".
D
Answers
find the slope of the line passing through the points using the slope formula
(5, 0), (2, 4)
Answers
The slope formula is m= y2-y1/x2-x1.
m= 4-0/2-5
m=4/-3
Therefore, 4/-3 is the slope.
Answer:
The first option, incase something happens to the president, they’re next in line.
Step-by-step explanation:
đa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0
Answers
for the rectangle, what is the length of side AB
A=(-4,10) B=(2,10) C=(2,2) D=(-4,2)
Answers
Answer:
6 units
Step-by-step explanation:
the answer is the image above
Answer:
I've attached the Answer
Nine hundred sixty pack of reliefs goods are to be distributed to 10 Barangays. How
many packs will each Barangay receive?
Answers
Answer:
96
Step-by-step explanation:
960 ÷ 10 = 96
please mark as brainliest answer
A square coffee shop has a perimeter of 20 meters. How long is each side of the coffee shop?
Answers
A square has 4 equal sides:
20/4 = 5
Brainliest?
Answer:
5 Meters
Step-by-step explanation:
Perimiter of a square would be P/4
So we take 20 and divide it by four.
We would get 5 as a result so each side is 5 meters.
Hope this helps.
can I please can some help on this question
Answers
Answer: The answer be 87 for both answer's
Step-by-step explanation:
because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)
pls help me..... the question is in the attachment.... thank you
Answers
Answer:
I added some attachments as well, I hoped I helped.
The product of sinA x cotA is
Answers
==========================================
Work Shown:
sin(A)*cot(A)
sin(A)*( cos(A)/sin(A) )
cos(A)
--------------
Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.
Answer:
cosA
Step-by-step explanation:
Using the identity
cotA = [tex]\frac{cosA}{sinA}[/tex] , then
sinA × cotA
= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )
= cosA
10. Use the vertical line test to determine if the graph below
represents a function. If it is not a function, tell where the
vertical line test fails.
Answers
The graph is a function. When drawing a vertical line, there will be two circumstances:
The line intersects only one point on a graph. The line intersects more than one point on a graph ( POI > 1 )For the first circumstance, the graph that has only one intersect with a line - it is a function. For the second circumstance, the graph cannot be a function as it gives more than one y-value for a single x-value.
The conclusion is that if a line only has one intersect on a graph then it is a function. Otherwise, not a function but a relation instead. All functions are relations, but not all relations can be functions.
Answer
The graph passes the vertical line test and is a function.(a+b)^2*(a-b)
please answer me fast
Answers
Answer:
a^3b + 2a^2b^2 + ab^3
Step-by-step explanation:
(a+b)^2
= a^2 + 2ab + b^2
ab(a^2 + 2ab + b^2)
= a^3b + 2a^2b^2 + ab^3
stuck on this its super hard
Answers
Explanation:
Divide shape into one rectangle and one triangle.
Base of triangle:
15 - 9 = 6 cm
Height of triangle:
11 - 6 = 5 cm
Area if triangle (1/2 • base • height):
1/2 • 6 • 5 = 15 square centimeters
Area of rectangle (length • width)
15 • 6 = 90 square centimeters
ADD THE AREA OF BOTH SHAPES:
90 + 15 = 105 square centimeters
Hope this helps!
-SpaceMarsh
Có bao nhiêu giá trị nguyên của tham số m để phương trình 4^x +4^-x = 2^ (x+1) – 2^(1-x) +4-m có nghiệm trên đoạn [0;1]
Answers
Answer:
m = 2
m = 2,75
Step-by-step explanation:
Được-
Phương trình =
4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m
Thay các giá trị của x = 0 vào phương trình đã cho ta được
4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m
1 +1 = 2 -2 + 4-m
m = 4-2 = 2
Thay các giá trị của x = 1 vào phương trình đã cho ta được
4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m
4 + 0,25 = 4 - 1 + 4 -m
m = 7-4,25 = 2,75
If f(1) = 2 and f(n) = f(n − 1)^2 + 3 then find the value of f(3).
Answers
===========================================================
Explanation:
Let's use the recursive rule to find f(2)
We'll plug n = 2 into the second equation to find that...
f(n) = ( f(n-1) )^2 + 3
f(2) = ( f(2-1) )^2 + 3
f(2) = ( f(1) )^2 + 3
f(2) = ( 2 )^2 + 3
f(2) = 4 + 3
f(2) = 7
Notice in the jump from lines 3 to 4, we go from f(1) to 2. So f(2) is dependent on what f(1) is.
In other words, the second term is dependent on the first term.
--------------------
Likewise, f(3) is dependent on f(2)
Plug n = 3 into the recursive definition to find the following
f(n) = ( f(n-1) )^2 + 3
f(3) = ( f(3-1) )^2 + 3
f(3) = ( f(2) )^2 + 3
f(3) = ( 7 )^2 + 3
f(3) = 49 + 3
f(3) = 52
The third term of this recursive sequence is 52.
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y = 1/5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that represents Angelo's second cut. 10 -10 10 --10 O A. y = -5x-6 B. y = 5x + 6 C. y = 5x + 6 O D. y - 18 x - 6
Answers
Answer:
y = 1/5x + 6
Step-by-step explanation:
If the second cut is parallel to the first, it will have the same slope.
So, it will have a slope of 1/5.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
6 = 1/5(0) + b
6 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = 1/5x + 6
So, the equation of the second cut is y = 1/5x + 6
what is true of the compassion
Answers
Answer:
compassion is compassion, that is true
Step-by-step explanation:
How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt
Answers
Answer:
600[tex]e^{10*.04}[/tex]
$895.09
Step-by-step explanation:
Help please if you don’t mind Thankyouu!
Answers
Answer:
(3V) / b = h
Step-by-step explanation:
V = (1/3)bh multiply both sides by 3
3V = bh divide both sides by b
(3V) / b = h
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 5, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 68. Compute the trainee's z-score.
Answers
Answer:
-0.8
Step-by-step explanation:
Given that :
Mean of test score, m = 72
Standard deviation of test score, σ = 5
Trainee's score, x = 68
Since the distribution is Symmetric ;
The Zscore Cann be calculated thus :
Zscore = (x - mean) / standard deviation
Zscore = (68 - 72) / 5
Zscore = - 4 / 5
Zscore = - 0.8