Question

The surface area of a cylinder is 1000 square centimeters. The radius of the cylinder is four times the

height. What is the height of the cylinder?

Answer 1

h = 2.82 cm

Explanation:

`surface area = 2 \pi R^(2) + 2 \pi R h\\1000 = 2 \pi (16h^(2) ) + 2 \pi (4h^(2) )\\1000 = 32 \pi h^(2) + 8\pi h^(2) \\1000 = 40 \pi h^(2) \\25 = \pi h^(2) \\\\h = \sqrt{(25)/(\pi) } = 2.82 cm`