Question

what is the surface area of the cylinder? express the answer in terms of $pi$.
recall the formula $sa = 2pi r^{2}+2pi rh$.

Explanation:

Step1: Find the radius

Given \(d = 8\) cm, radius \(r=\frac{d}{2}=\frac{8}{2}=4\) cm.

Step2: Substitute into the surface - area formula

The surface - area formula of a cylinder is \(SA = 2\pi r^{2}+2\pi rh\).
Substitute \(r = 4\) cm and \(h = 18\) cm into the formula:

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Step3: Calculate the final result

\(SA=(32 + 144)\pi=176\pi\) \(cm^{2}\)

Answer:

\(176\pi\ cm^{2}\)