find the volume of a cone with diameter of 12m and a height of 7m

Answers

Answer 1

Answer:

A) [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters

Step-by-step explanation:

The formula for finding the volume of a cone is [tex]V=\frac{1}{3}\pi r^{2} h[/tex] where [tex]V[/tex], [tex]r[/tex], and [tex]h[/tex] are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is [tex]\frac{12}{2}=6[/tex] m. Now, we know that [tex]r=6[/tex] and [tex]h=7[/tex], so plugging these values into the equation, we get:

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

[tex]= \frac{1}{3} \pi *6^{2} *7[/tex] (Substitute given values into equation)

[tex]=\frac{1}{3}\pi *36*7\\=84\pi[/tex] (Simplify)

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], we know that [tex]84\pi =84*3.14=263.76[/tex]. Therefore, the volume of the cone is [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters. Hope this helps!


Related Questions

If you earn $40 a year on a $500 investment, what is the annual rate of return?

Answers

Answer:

40/500 = 8%

Step-by-step explanation:

40/500 = 8%

So the answer is 8%/year.  The question is if the $40 is reinvested, then will the following year's return be 8% of $540 is $43.20?  If it were, this would be an example of compound returns is getting interest (or a return) on the previously earned interest. That's an 8% per annum simple yield.   You'd be better off finding something that compounded your investment.

The annual rate to return will be 8%.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Simple interest = $40

Principal amount = $500

Time = 1 year

Now,

Since, We know that;

⇒ Simple interest = P R T/100

Substitute all the values, we get;

⇒ $40 = $500 x R x 1 / 100

⇒ $40 × 100 = $500R

⇒ $400/$500 = R

⇒ R = 8%

Thus, The annual rate to return will be 8%.

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Landon hands out 120 flyers in 2 hours. Fernando hands out 29 flysers in 30 minutes. Which equation can be used to determine the number of flyers Fernando handed out in 2 hours?

Answers

Answer:

0.5x = 48

96 flyers

Step-by-step explanation:

Given that:

Fernando hands out 29 flyers in 30 minutes ;

Number of flyers he hands out in 2 hours ;

29 flyers = 0.5 hours

Let number of flyers he hands out in 2 hours = x

Hence,

29 flyers = 0.5 hours

x = 2

0.5x = 48 flyers

x = 48 / 0.5

x = 96 flyers

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Is there a solution YES OR NO AND WHAT IS THE SOLUTION?

Answers

no it isn’t a solution

pleaseeeee.. :)))))))

Answers

Answer:

Your  picture Is blocked for me

what represents a line that is parallel to x-4y=16 ???

Answers

x - 4y + b = 0 answer

The equation of a line parallel to a line ax + by + c = 0 is ax + by + d = 0.
In other words, the equation of two parallel lines differ by a constant.
Therefore, if the equation of the line is: x - 4y - 16 = 0, then the equation of the line parallel to this should be: x - 4y + d = 0.
If we are given a point, say (x₁, y₁) on the line then we can substitute this point on the equation to determine the value of 'd'.

solve the following systems of equations.
5x+3y+4z=1
4x-7y+3z=0
x+5y-2z=-11

Answers

Answer:

x= 8

y= -5

z= 0

Step-by-step explanation:

this is the correct answer to this system of equations.

Will mark BRAINLIST only if correct answer
Please need help ASAP only answer if u know the correct answer

Answers

Answer:

its the last one third and first

Step-by-step explanation:

Evaluate 5 + 3x for (a) x= -2 and (b)x= 3. Write your answers in simplest form.

Answers

Answer:

a. -1

b. 14

Step-by-step explanation:

a.

5 + 3(-2)=

5 + (-6)=

-1

b.

5 + 3(3)=

5 + 9=

14

When x = -2, the value of 5 + 3x is -1,

and when x = 3, the value of 5 + 3x is 14.

Here, we have,

given equation is: 5 + 3x

To evaluate the expression 5 + 3x for the given values of x:

(a) When x = -2:

5 + 3(-2)

= 5 - 6

= -1

(b) When x = 3:

5 + 3(3)

= 5 + 9

= 14

Therefore, when x = -2, the value of 5 + 3x is -1,

and when x = 3, the value of 5 + 3x is 14.

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help pls !ASAP! it a rq question

Answers

what is the question -.-

The ratio of wins to losses was 3 to 5 for the Jackals
baseball team last season. The Jackals won 21 games
last season.
How many games did the Jackals lose last season?

Answers

Answer:

35

Step-by-step explanation:

3:5

21;35

as it must be * by 7 as 3*7=21

so therefore we times 5*7 as well

so they has 35 loses

Write a story about elevation that this expression could represent: 56 + (-56)

Answers

Yes zero is the answer because they have the same values that are opposing.

show that x+1 is a factor of f(x)=2x^4-x^3-35x^2+16x+48 . Then factor f(x) completely
please if possible show steps

Answers

Answer:

callate

Step-by-step explanation:

:)))))))))))

Determine which consecutive integers do not have a real zero of f(x) = x3 - 4x2 - 4x+ 15 between them. a (4, 5) c. (2-1) b. (1, 2) d (-3,-2)

Answers

Answer: B

Step-by-step explanation: the answer is (0,1)

What is the correct factorization of x2+6x+8?

Answers

8x+8
8x=-8
x=-1
i’m pretty sure this is what you mean

Answer:

(x + 2)(x + 4)

Step-by-step explanation:

You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)

Footlocker has sale ln any three shirts for $55.50 meanwhile nike is having their own sale ln any five sale shirts for $79.99 which store offers the best deal what is your saving per shirt

Answers

Answer:

The nike store offers the best deal

The saving per shirt is $2.50

Step-by-step explanation:

Here, we want to compare the prices offered in the two stores

In footlocker, you can get 3 shirts for $55.50

The sales per shirt is thus;

55.5/3 = $18.50

For Nike,

5 shirts for $79.99 which is almost $80

So the price per shirt is $80/5 = $16

We can see that the price at the nike store is better

The difference leading to the savings is;

18.5-16 = $2.50

So you save $2.50 buying from the nike store

Add
-51 + (-16) -
a : - 67
b : 35
C : 67
D : - 35

Answers

The ANSWER: is
A : -67

teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8

A.20%
B.12%
C.60%
D.72%​

Answers

20 o/o fndjdndbbbbbndndn

Press on the picture

Answers

B is the correct answer

Answer:

bet, I pressed the picture (lol)

Step-by-step explanation:

it's B

please help me on this will give you brainliest

Answers

The first common integer that comes to mind is 40, so multiple the numerator and denominator of the left fraction by 4, and the right by 5. This gives us:

36/40 and 35/40, respectively.

Thus, the left fraction is greater than the right fraction

y = 3/2x + 2
y = 2/3x + 6
These lines are...

Answers

Answer:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the lines

y = 3/2x + 2y = 2/3x + 6

y = 3/2x + 2

Finding the slope of y = 3/2x + 2

comparing with the slope-intercept form of the line equation

The slope m₁ = 3/2

y = 2/3x + 6

Finding the slope of y = 2/3x + 6

comparing with the slope-intercept form of the line equation

The slope m₂ = 2/3

So,

m₁ = 3/2

m₂ = 2/3

We know that when two lines are parallel, they have equal slopes

But  

m₁ ≠ m₂

3/2 ≠ 2/3

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × 2/3

             = 6/6

             = 1

As  

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

What is the pattern in the infinite sequence below?

–3, –1, 1, 3, 5, ...


Multiply the term number by 2, then subtract 5.
Multiply the term number by 3, then subtract 6.
Multiply the term number by 4, then subtract 7.
Multiply the term number by 5, then subtract 8.

Answers

Is there only 4 options?

Answer:

A. Multiply the term number by 2, then subtract 5

Step-by-step explanation:

Edge 2021

Write an equation where a number is multiplied by a variable, and a solution is -4/5

Answers

Answer:

5x = -4

Step-by-step explanation:

5x = -4

x would have to be -4/5 because -4 divided by 5 is -4/5.

The equation will be 5x = -4 to get the solution of -4 / 5.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is multiplied by a variable and the solution is -4 / 5. Let the variable be x then multiply the variable by 5 which is equivalent to -4 now solve for the value of x.

The equation will be formed as below:-

5x = -4

x = -4 / 5

Therefore, the equation will be 5x = -4 to get the solution of -4 / 5.

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Solve: 15x - 12 + 7 x + 6 = 60

Answers

Answer:

The answer is 3

Step-by-step explanation:

If you combine like terms you get 22x - 6 = 60

Then you set the numbers and x's apart = 22x = 66

Then you divide and get 3

Answer is X=3

15x-12+7x+6=60
Explanation:
22x-12+6=60
22x-6=60
22x=60+6
22x=66
Divide both sides by 22
And x=3

Find the surface area of the prism.



The surface area is square millimeters.​

Answers

Answer:

57.1mm^2

Step-by-step explanation:

4*4=16

16/2=8mm^2 cross section

(4*3) + (4*3) + (5.7*3) = 41.1mm

8*2=16

41.1+16=57.1mm^2

The surface area of the prism is S = 57.1 mm²

What is the surface area of the prism?

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the area of the 2 triangles be T

Let the area of the 2 rectangles be R

Let the area of the third side be U

Now , the total surface area of the prism = T + R + U

where T = 2 x ( 1/2 ) ( 4 x 4 )

T = 16 mm²

R = 2 x ( 3 x 4 )

R = 24 mm²

And , U = 5.7 x 3

U = 17.1 mm²

Therefore , the total surface area of prism S = 16 mm² + 24 mm² + 17.1 mm²

S = 57.1 mm²

Hence , the surface area of prism is S = 57.1 mm²

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You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.

Answers

Answer:

P = 0.5c - 75

Step-by-step explanation:

Profit is = selling price. - cost price

Cost price is the amount the supplies were bought = $75

The cost of c cups at $0.5 per cup will be

0.5 * c = $0.5c

The profit here is thus;

P = 0.5c - 75

how do you find deviation and standard deviation

Answers

Answer: The standard deviation formula may look confusing, but it will make sense after we break it down. ...

Step 1: Find the mean.

Step 2: For each data point, find the square of its distance to the mean.

Step 3: Sum the values from Step 2.

Step 4: Divide by the number of data points.

Step 5: Take the square root.

Step-by-step explanation:

2. There are two different sizes of Fanta Pinapple for you to get. The first one is a
12 oz can, and the bottle has 33% more. How much does the bottle contain
approximately?
4 OZ
0 21 oz
O 16 oz
O 19 oz

Answers

Answer:

12/100*133= 15.96

approx 16oz

I think 16 is right

To multiply 10 with 2/5
you should_________.

Answers

Answer:

convert 2/5 to a decimal, which is 0.4

multiplying a value by 10 means you should move the decimal point one unit to the right

so 10 x 2/5 = 4

Step-by-step explanation:

Answer:

i should multiply 10 by 2/5

10×2/5

=20/5

=4

the perimeter of a rectangle is equal to that of a square with the side 13m if thr rectangle is 16m long what is the breadth​

Answers

Answer:

[tex]2(l + b) = {s }^{2} \\ 2(16 + b) = {13}^{2} \\ 32 + 2b = 169 \\ 2b = 137 \\ b = 68.5[/tex]

5. Use the given figure to solve X- Justify each step below.
2x
*+79

Answers

Answer:

2x + 79= 0

2x = -79

X = -79/2

X = -39.5

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