Question

finding the surface area of a cylinder
what is the surface area of a cylinder with a radius of 5 ft and a height of 2 ft?
70π ft² 150π ft²
60π ft² 96π ft²

Explanation:

Step1: Recall the formula for the surface area of a cylinder

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

Step2: Substitute the given values into the formula

Given \(r = 5\) ft and \(h=2\) ft.
First, calculate \(2\pi r^{2}\):
\(2\pi r^{2}=2\pi\times(5)^{2}=2\pi\times25 = 50\pi\)
Then, calculate \(2\pi rh\):
\(2\pi rh=2\pi\times5\times2=20\pi\)

Step3: Sum the two parts

\(S=2\pi r^{2}+2\pi rh=50\pi + 20\pi=70\pi\)

Answer:

\(70\pi\space ft^{2}\)