Question

what is the formula to calculate the volume of a cylinder?
a. π×diameter×height
b. π×height×r
c. π×radius×height²
d. π×r²×h
if a cylinder has a height of 12 cm and a radius of 5 cm, what is the volume in cubic cm?
a. 60π
b. 240π
c. 150π
d. 300π

Explanation:

Step1: Recall volume formula for cylinder

The volume formula of a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Answer first - multiple - choice question

Based on the formula $V=\pi r^{2}h$, the correct option for the formula question is d. $\pi\times r^{2}\times h$.

Step3: Calculate volume for second question

Given $r = 5$ cm and $h=12$ cm. Substitute into the formula $V=\pi r^{2}h=\pi\times5^{2}\times12=\pi\times25\times12 = 300\pi$ $cm^{3}$. So the answer for the second multiple - choice question is d. $300\pi$.

Answer:

d. $\pi\times r^{2}\times h$
d. $300\pi$