Question

find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. leave your answer in terms of π. 140π cm² 91π cm² 60π cm² 51π cm²

Explanation:

Step1: Recall surface - area formula

The total surface area formula of a cylinder is $S = 2\pi r^{2}+2\pi rh$, where $r$ is the radius and $h$ is the height.

Step2: Substitute given values

Given $r = 3$ cm and $h = 7$ cm. First, calculate $2\pi r^{2}$: $2\pi\times3^{2}=2\pi\times9 = 18\pi$. Then calculate $2\pi rh$: $2\pi\times3\times7=42\pi$.

Step3: Sum the two parts

$S=18\pi + 42\pi=60\pi$ $cm^{2}$.

Answer:

$60\pi$ $cm^{2}$