Given:
The shape is
Find-:
The surface area of the cylinder
Explanation-:
The surface area of the cylinder
[tex]A=2\pi rh+2\pi r^2[/tex]
Where,
[tex]\begin{gathered} r=\text{ Radius} \\ \\ h=\text{ Height} \end{gathered}[/tex]
The radius and height of the cylinder
[tex]\begin{gathered} r=\frac{\text{ Diameter}}{2} \\ \\ r=\frac{12}{2} \\ \\ r=6\text{ mi} \\ \\ h=9\text{ mi} \end{gathered}[/tex]
The surface area of the shape is:
[tex]\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}[/tex]
The surface area is 180π mi²
