Question

Find the volume of the cone shown:

A. 1176 units^3

B. 1176pie units^3

C. 392pie units^3

D. 392 units^3

Answer 1

C.

`392\pi \: {units}^(3)`

EXPLANATION

The volume of a cone is calculated using the formula:

`V= (1)/(3) \pi {r}^(2) h`

The radius of the cylinder is

r=7 units.

The height is 24 units.

We substitute these values into the formula to obtain:

`V= (1)/(3) * \pi * {(7)}^(2) * 24`

`V = 392\pi \: {units}^(3)`

Answer 2

C

Explanation:

The volume of the cone can be calculated using formula

`V=(1)/(3)\cdot \pi r^2 h,`

where h is the height of the cone, r is the base radius.

In your case, h=24 un., r=7 un. So

`V=(1)/(3)\cdot \pi \cdot 7^2\cdot 24=49\cdot 8\pi=392\pi \ un^3.`