Question

find the surface area of the cylinder. in terms of pi. SA=__cm squared. simply final answer and use terms of pi.

Answer 1

To answer this question we will use the following formula to compute the surface area of a cylinder:

$\begin{gathered} SA=2\pi rh+2\pi r^2, \\ where\text{ r is the cylinder's radius, and h is the cylinder's height.} \end{gathered}$

From the given diagram we get that the cylinder's radius is 4cm and ht cylinder's height is 8cm, therefore its surface area is:

$SA=2\pi *4cm*8cm+2\pi(4cm)^2.$

Simplifying the above result we get:

$\begin{gathered} SA=64\pi cm^2+32\pi cm^2 \\ =96\pi cm^2. \end{gathered}$

Answer:

$SA=96\pi cm^2\text{.}$