Question

What is the approximate volume of the cone?

Use 3.14 for π.

A 1206 cm³

B 2170 cm³

C 3260 cm³

C 6510 cm³

Answer 1

A. 1206 cm³

Explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr²
`(h)/(3)`

We know the radius = 12

and the height = 8

Substitute :

V = π12²
`(8)/(3)`

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V =
`(2^4*3^2*8\pi )/(3)`

Cancel the common factor - 3 :

V =
`2^4 * 8 * 3\pi`

Multiply 8 and 3π :

V =
`2^4 * 24\pi`

Solve the exponent :

V =
`16 * 24\pi`

Multiply :

V =
`384\pi`

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³