Question

a cylinder has a base area of 36π cm² and a height of 5 cm. its volume is _______. a. 144π cm³ b. 180π cm³ c. 72π cm³ d. 180 cm³

Explanation:

Step1: Recall volume formula

The volume formula of 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 $A = 36\pi\ cm^{2}$ and $h = 5\ cm$. Substituting these values into the formula, we get $V=36\pi\times5$.

Step3: Calculate the volume

$36\pi\times5 = 180\pi\ cm^{3}$.

Answer:

B. $180\pi\ cm^{3}$