Chapter 12, Problem 116CUR

To determine

To calculate: The surface area and the volume of the cylinder.

Answer to Problem 116CUR

The surface area of the cylinder is584.1 ${\text{ft}}^2$ and the volume is 3052.1 ${\text{ft}}^3$ .

Explanation of Solution

Given information:

The given values are, $r=9\text{ ft, and }h=12\text{ ft}$

Formula used:

Surface area and volumeof the cylinder:

  $\begin{array}{l}A=2\pi rh+2\pi r^2\\ V=\pi r^{2}h\end{array}$

Calculation:

The surface area and volume of cylinder can be calculated as,

  $\begin{array}{l}A=2\pi rh+2\pi r^2\\ A=2\times 3.14\times 9\times 12+2\times 3.14\times 9^2\\ A=75.4+508.7\\ A=584.1\\ \text{now for volume,}\\ V=\pi r^{2}h\\ V=3.14\times 9^2\times 12\\ V=3052.1\end{array}$