Question

Derek is planning on covering an entire drum in leather. The diameter of the drum is 10 inches, and the height of the drum is 16 inches. What is the minimum amount of leather that Derek will need to cover the drum?

Answer 1

Answer: 694.4 in^2

Explanation:

We have a cylinder with:

diameter = d = 10 inches

heigth = h = 16 inches.

The total surface of a cylinder is equal to:

S = h*2*pi*(d/2) + 2*pi*(d/2)^2

we can replace the numbers and get:

S = 16*2*3.14*(10/2) + 2*3.14*(10/2)^2 = 659.4 inches squared