Question

The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height

Answer 1

`V_2 = 583.67`

Explanation:

Given

Represent the volume of the cylinder with V1 and the cone with V2.

So:

`V_1 = 1751`

Required

Find V2

The volume of a cylinder is:

`V_1 = \pi r^2h`

Because the cone and the cylinder have the same base area and height, the volume of the cone is:

`V_2 = (1)/(3)\pi r^2h`

Substitute
`V_1` for
`\pi r^2h`.

`V_2 = (1)/(3)\pi r^2h`

`V_2 = (1)/(3)V_1`

Substitute 1751 for V1

`V_2 = (1)/(3) * 1751`

`V_2 = (1* 1751)/(3)`

`V_2 = (1751)/(3)`

`V_2 = 583.67`

The volume of the cone is 583.67 cubic units