Question

The height of a cone is twice the radius of its base.

What expression represents the volume of the cone, in cubic
units?

2/3pix³
4/3pix²
2pix³
4pix³

PLEASE HELP!!!!!!!!

Answer 1

2/3pix³ or
`(2)/(3) \pi x^3\\`

Explanation:

This problem brothers on the mensuration of solid shapes, a cone.

we know that the expression for the volume of a cone is

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

let the radius r of the cone be=
`x`

and the height h is =
`2x`

we can now solve the expression that represents the volume of the cone, in cubic units.

`volume= (1)/(3) \pi *x*2x\\\volume= (1)/(3) \pi *2x^3\\\volume= (2)/(3) \pi x^3\\`