Question

the volume of a cylinder with a base of radius r is the area of the base times the length of its height (h). which of the following is the formula for the volume of a cylinder? a. $v = \frac{1}{2}\pi rh$ b. $v = \pi r^2 h$ c. $v = 2\pi rh$ d. $v = \pi rh$

Explanation:

Step1: Find base area of cylinder

The base of a cylinder is a circle, so its area is $\pi r^2$.

Step2: Calculate cylinder volume

Volume = base area × height, so substitute and multiply.
$V = \pi r^2 \times h$

Answer:

B. $V = \pi r^2 h$