Question

Find the surface area of a cylinder with a base diameter of 10 yd and a height of 6 yd.Write your answer in terms of π, and be sure to include the correct unit.

Answer 1

The radius of the cylinder is,

`r=(d)/(2)`

where d is the base diameter.

Substituting the known values,

`\begin{gathered} r=(10)/(2) \\ r=5\text{ yd} \end{gathered}`

The height of the cylinder is,

`h=6\text{ yd}`

Thus, the surface area of the cylinder is,

`S=2\pi rh+2\pi r^2`

Substituting the known values,

`\begin{gathered} S=2\pi*5*6+2\pi*5^2 \\ S=60\pi+50\pi \\ S=110\pi yd^2 \end{gathered}`

Thus, the surface area of the cylinder is,

`110\pi yd^2`