Question

What is the volume of the cone below?

Answer 1

`Volume=3408 \pi`
`units^3`

Explanation:

Given that radius of the cone is r = 12 units

Given that height of the cone is h = 71 units

Now question says to find the volume of the given cone.

So plug these values into formula of volume of the cone.

`Volume=(1)/(3)\pi r^2h`

`Volume=(1)/(3)\pi (12)^2(71)`

`Volume=(1)/(3)\pi (144)(71)`

`Volume=(1)/(3)\pi (10224)`

`Volume=(10224 \pi)/(3)`

`Volume=3408 \pi`
`units^3`

Hence correct choice is D.

Answer 2

V = 3408 pi unit^3

Explanation:

Volume of a cone is given by

V = 1/3 pi r^2 h

We know the radius is 12 and the height is 71

V = 1/3 * pi * (12)^2 *71

V = 1/3 * pi * 144 *71

V = 3408 pi unit^3