Chapter 12.6, Problem 5PPS

To determine

Calculate the lateral and surface area of cylinder having radius of 3.1 yd and thickness of 2 yd

Answer to Problem 5PPS

Lateral area of cylinder= $38.955y{d}^2$

Surface area of cylinder= $99.335y{d}^2$

Explanation of Solution

Given:

Radius= 3.1 yd

Height =2 yd

Calculations:

Here, we have to calculate lateral and surface area of cylinder.

We know that, surface area of cylinder is calculated as,

  $Surfacearea=2\pi r^2+2\pi rh$

Where, $r$ is the radius of cylinder h is the height of cylinder

Putting values in equation, we get

  $\begin{array}{l}Surfacearea=2\pi r^2+2\pi rh\\ =(2\times \pi \times {3.1}^2)+(2\times \pi \times 3.1\times 2)\\ =60.38+38.955\\ =99.335y{d}^2\end{array}$

We know that, lateral surface area of cylinder is calculated as,

  $\begin{array}{l}LateralSurfacearea=2\pi rh\\ =(2\times \pi \times 3.1\times 2)\\ =38.955y{d}^2\end{array}$

Conclusion:

Therefore, we are able to calculate lateral and surface area of cylinder.