Chapter 12, Problem 9MCQ

To determine

To find the lateral surface area and surface area of the given cylinder.

Answer to Problem 9MCQ

  $84\pi$ meters², $102\pi$ meters²

Explanation of Solution

Given:

  

Radius of cylinder, $r=3$ meters

Height of cylinder, $h=14$ meters

Formula used:

Lateral surface area of a cylinder $=2\pi rh$

Surface area of a rectangular prism $=2\pi r\left(r+h\right)$

Calculation:

For the given cylinder,

Lateral surface area $=2\pi rh$

  $\begin{array}{l}=2\times \pi \times 3\times 14\\ =2\times \pi \times 42\\ =84\pi \end{array}$

Surface area $=2\pi r\left(r+h\right)$

  $\begin{array}{l}=2\times \pi \times 3\left(3+14\right)\\ =6\pi \left(17\right)\\ =102\pi \end{array}$

Conclusion:

Therefore, lateral surface area of the given cylinder is $84\pi$ meters² and surface area is $102\pi$ meters².