Chapter 12.3, Problem 46SPR

To determine

To find:

The surface area of cylinder.

Answer to Problem 46SPR

The surface area is $1187.5{\text{ mm}}^2$ .

Explanation of Solution

Given information:

A cylinder with a diameter of $18\text{ cm}$ and a height of $12\text{ cm}$ .

Calculation:

A cylinder with a diameter of $18\text{ cm}$ and a height of $12\text{ cm}$ .

Radius of a cylinder is $\frac{18}{2}=9\text{ cm}$ .

The surface area of cylinder is given as:

  $S=2\pi rh+2\pi r^2$

Substitute $r=9$ and $h=12$ in the above formula:

  $\begin{array}{c}S=2\pi \left(9\right)\left(12\right)+2\pi {\left(9\right)}^2\\ =216\pi +62\pi \\ =378\pi \\ \approx 1187.5{\text{ mm}}^2\end{array}$

Hence, the surface area is $1187.5{\text{ mm}}^2$ .