Chapter 12.6, Problem 7PPS

To determine

Calculate the lateral and surface area of cylinder having diameter of 4in and height of 10inch

Answer to Problem 7PPS

Lateral area of cylinder= $125.663i{n}^2$

Surface area of cylinder= $150.795i{n}^2$

Explanation of Solution

Given:

Diameter=4inch ; Radius = 2 inch

Height =10 inch

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

  $\begin{array}{l}Surfacearea=2\pi r^2+2\pi rh\\ =(2\times \pi \times 2^2)+(2\times \pi \times 2\times 10)\\ =25.132+125.663\\ =150.795i{n}^2\end{array}$

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

  $\begin{array}{l}LateralSurfacearea=2\pi rh\\ =(2\times \pi \times 2\times 10)\\ =125.663i{n}^2\end{array}$

Conclusion:

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