Question

A cylinder and its dimensions are shown in the diagram. Which measurement is closest to the lateral surface area of the cylinder in square inches? 1,597.9 in2 677.3 in2 555.7 in2 1111.4 in2

Answer 1

555.7 in²

Explanation:

Lateral surface area of a cylinder is the "side" surface area only. Lateral SA does not include the surface area of the 2 circular ends.

`\textsf{lateral SA}=2\pi rh`

(where r is the radius and h is the height)

Given:

• diameter = 8.8 in ⇒ radius = 4.4 in
• height = 20.1 in

Substituting these values into the formula:

`\implies \textsf{lateral SA}=2\pi \cdot 4.4 \cdot 20.1`

`\implies \textsf{lateral SA}=555.7 \textsf{ in}^2 \textsf{ (nearest tenth)}`