Question

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

What expression represents the volume of the cylinder, in

cubic units?

4pix2

2pix3

pix2+2x

2+pix3

Answer 1

The answer is 2pix3 or
`2\pi x^3\\`

Explanation:

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

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

`volume= \pi r^2h\\`

let the radius r of the base be= x

and the height h of the cylinder be = 2x

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

`volume= \pi *x^2*2x\\volume= \pi *2x^3\\\\volume= 2\pi x^3\\`