172k views
5 votes
The lateral surface area of a cylinder is 288π square centimeters. The height of the cylinder is 16 centimeters. What is the diameter of the cylinder in centimeters?

User Gary Gale
by
7.0k points

1 Answer

4 votes

Answer:

18 cm

Explanation:

The formula for the lateral surface area of a cylinder is

=>2πrh

In the question:

The lateral surface area of a cylinder is 288π square centimeters.

The height of the cylinder is 16 centimeters.

Hence:

288π => 2πrh

288π => 2 × π × r × 16

288π => 32πr

r => 288π/32π

r => 9 cm

The formula of Diameter is 2 × radius

= 2 × 9 cm

Diameter =>18 cm

The diameter of the cylinder in centimeters is 18 cm

User Stackato
by
6.8k points