Chapter 12.6, Problem 6PPS

To determine

Calculate the lateral and surface area of cylinder having diameter of 26.5 mm and thickness of 2 mm.

Answer to Problem 6PPS

Lateral area of cylinder= $166.5044m{m}^2$

Surface area of cylinder= $1269.59m{m}^2$

Explanation of Solution

Given:

Diameter=26.5 mm; Radius= 13.25 mm

Height =2 mm

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

  $\begin{array}{l}Surfacearea=2\pi r^2+2\pi rh\\ =(2\times \pi \times {13.25}^2)+(2\times \pi \times 13.25\times 2)\\ =1103.09+166.5044\\ =1269.59m{m}^2\end{array}$

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

  $\begin{array}{l}LateralSurfacearea=2\pi rh\\ =(2\times \pi \times 13.25\times 2)\\ =166.5044m{m}^2\end{array}$

Conclusion:

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