Question

Find the surface area of the cylinder. The circumference is 12.

Answer 1

For this problem, we are given a cylinder, and we need to determine its surface area. We don't know the radius of the cylinder's base, we only have the circumference, therefore we need to find the radius.

First, we find the radius:

`\begin{gathered} C=2\pi r\\ \\ 12=2\pi r\\ \\ r=(12)/(2\pi)=1.91 \end{gathered}`

The radius is equal to 1.91 cm, with this we can find the surface area:

`\begin{gathered} A_(surface)=2\cdot\pi\cdot(1.91)^2+11.5\cdot12\\ \\ A_(surface)=22.92+138=160.92\text{ square cm} \end{gathered}`

The surface area is equal to 160.92 square cm.