Question

Find the volume of the cone shown below

Answer 1

768π

Explanation:

It looks like some of the choices are in terms of pi so we don't include pi in the formula.

V =
`(1)/(3)`πr²h

V =
`(1)/(3)`r²h

V =
`(1)/(3)` 12² x 16

V =
`(1)/(3)` 144 x 16

V =
`(1)/(3)` 2304

V = 768

Then we add pi so the answer is

768π units³

Answer 2

768pi (D)

Explanation:

V = 1/3*B*h

We know the height is 16 and the area of the base is pi*12^2. 16*144pi = 2304 pi. Dividing this by 3 gives 768pi.