Question

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

Answer 1

Step-by-step explanation:

The volume of a cylinder is given by :

$V=\pi r^2 h$

r is the radius of the base of a cylinder

h is height of cylinder

The height of a cylinder is twice the radius of its base. It means that h = 2r

So, volume of cylinder becomes :

$V=\pi r^2(2r)\\\\V=2\pi r^3$

So, the volume of the cylinder is given by the expression $2\pi r^3$.