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

Question

asked Mar 9, 2021 197k views

1 Answer

EdC · Answer 1 · 2021-03-13T10:59:33+0000

Answer:

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.

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