The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression represents the volume of the cylinder, in cubic units…

Question

asked Feb 3, 2021 228k views

1 Answer

Scott Marchant · Answer 1 · 2021-02-08T22:41:00+0000

Let x represent radius of circle.

We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be
.

Now we will use volume of cylinder formula to our given problem.

$V=\pi r^2h$ , where,

r = Radius of base of cylinder,

h = Height of cylinder.

Upon substituting our given values, we will get:

$V=\pi\cdot x^2\cdot 2x$

$V=2x^3\pi$

Therefore, our required volume expression would be
$2x^3\pi$ .