Question

The surface area of a cylinder is 28π m². The distance around the base of the cylinder is 7π meters and the diameter of a base of the cylinder is 4 meters.

What is the height of the cylinder?

Enter your answer, as a simplified fraction, in the box.

m

Answer 1

5

Explanation:

diameter = 4 so radius =2

open up the cylinder so its top & bottom circle's circumference = 2πr =4π

top & bottom circle's area = πr² = 4π each, 8π for both

total surface = 28π

so lateral surface = 28π - 8π = 20π

so 20π = 4π* height

so height is 5