Question

the formula $v = pi r^{2}h$ is used to calculate the ______ of a cylinder.
a. circumference
b. surface area
c. volume
d. radius

Explanation:

Step1: Recall cylinder - related formulas

Circumference of base of cylinder is $C = 2\pi r$.

Step2: Recall surface - area formula

Surface area of cylinder $S=2\pi r^{2}+2\pi rh$.

Step3: Recall volume formula

Volume of cylinder $V = \pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height. So the given formula is for volume.

Step4: Recall radius concept

Radius $r$ is a linear - dimension and not calculated by $V=\pi r^{2}h$.

Answer:

C. volume