Question

a cylinder has a base area of 25π cm² and a height of 7 cm. what is the volume of the cylinder in terms of π?
a. 100π cm³
b. 250π cm³
c. 175π cm³
d. 125π cm³

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = A\times h$, where $A$ is the base - area and $h$ is the height.

Step2: Substitute given values

We are given that $A = 25\pi\ cm^{2}$ and $h = 7\ cm$. Substituting these values into the formula, we get $V=25\pi\times7$.

Step3: Calculate the volume

$V = 175\pi\ cm^{3}$.

Answer:

C. $175\pi\ cm^{3}$