Question

Find the surface area of a cylinder with a base radius of 4 cm and a height of 7 cm. Write your answer in terms of pi , and be sure to include the correct unit.

Answer 1

The surface area of a cylinder is

$A=2\pi rh+2\pi r^2$

Where

r = radius of the base

h = height

Therefore

$\begin{gathered} A=2\pi\cdot4\cdot7+2\pi\cdot(4)^2 \\ \\ A=56\pi+32\pi \\ \\ A=88\pi \\ \\ \end{gathered}$

The unit here will be squared centimeters

$A=88\pi\text{ cm}^2$