Question

The height of a cylinder is twice the radius of its base. What expression represents the volume of the cylinder, in cubic units?

Answer 1

Answer:

$V'=2\pi r^3\ cubic\ units$

Step-by-step explanation:

Let h is the height of the cylinder and r is the radius of its base. The expression for the volume of the cylinder is given by :

$V=\pi r^2h$

The height of a cylinder is twice the radius of its base. h' = 2 × r. New volume becomes :

$V'=\pi r^2h'$

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

$V'=2\pi r^3\ cubic\ units$

So, the volume of the cylinder is $2\pi r^3\ cubic\ units$. Hence, this is the required solution.

Answer 2

Answer:

2πr³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ← r is the radius and h the height

Here h = 2r, hence

V = πr² × 2r = 2πr³