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.

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 class=

Respuesta :

The surface area of a cylinder is

[tex]A=2\pi rh+2\pi r^2[/tex]

Where

r = radius of the base

h = height

Therefore

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

The unit here will be squared centimeters

[tex]A=88\pi\text{ cm}^2[/tex]