Chapter 12, Problem 10MCQ

To determine

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

Answer to Problem 10MCQ

  $360\pi$ inches², $522\pi$ inches²

Explanation of Solution

Given:

  

Diameter of cylinder, $d=18$ inches

Height of cylinder, $h=20$ inches

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 $=2\pi rh$

  $\begin{array}{l}=2\times \pi \times 9\times 20\\ =2\times \pi \times 180\\ =360\pi \end{array}$

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

  $\begin{array}{l}=2\times \pi \times 9\left(9+20\right)\\ =18\pi \left(29\right)\\ =522\pi \end{array}$

Conclusion:

Therefore, lateral surface area of the given cylinder is $360\pi$ inches² and surface area is $522\pi$ inches².