A right circular cylinder is shown in the figure below with dimensions given in feet. What is the surface area, in square feet, of this cylinder?

A right circular cylinder is shown in the figure below with dimensions given in feet What is the surface area in square feet of this cylinder class=

Respuesta :

The surface area of a regular cylinder is given by the following formula.

[tex]A_{\text{surface}}=2(r^2\pi)+(2r\pi)h[/tex]

Where r is the radius and h is the height of the cylinder. In our case,

[tex]\begin{gathered} r=4 \\ h=3 \\ \Rightarrow A_{\text{surface}}=2(16\pi)+2(4\pi)\cdot3=32\pi+24\pi=56\pi \\ \Rightarrow A_{\text{surface}}=56\pi \end{gathered}[/tex]

The answer is 56pi ft^2