Question

Find the surface area. Leave your answers in terms of T.9 mi

Answer 1

Given:

The shape is

Find-:

The surface area of the cylinder

Explanation-:

The surface area of the cylinder

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

Where,

`\begin{gathered} r=\text{ Radius} \\ \\ h=\text{ Height} \end{gathered}`

The radius and height of the cylinder

`\begin{gathered} r=\frac{\text{ Diameter}}{2} \\ \\ r=(12)/(2) \\ \\ r=6\text{ mi} \\ \\ h=9\text{ mi} \end{gathered}`

The surface area of the shape is:

`\begin{gathered} A=2\pi rh+2\pi r^2 \\ \\ A=2\pi(6)(9)+2\pi(6)^2 \\ \\ A=108\pi+72\pi \\ \\ A=180\pi\text{ mi}^2 \end{gathered}`

The surface area is 180π mi²