Question

Dillan is writing a computer program that will calculate the ratio of the surface area of a cylinder to the volume of the cylinder so that the user can input the radius and height

which of the following formulas represent the ratio

A: 2(r+h) / rh

B: (2(pi)r) / h

C : (pi)r / h

D : none of these

Answer 1

Answer: A: 2(r+h) / rh

Explanation:

The surface area of a cylinder is 2πr^2 + 2πrh.

The volume of a cylinder is (πr^2)h.

So, the ratio of the surface area to the volume would be:

2πr^2 + 2πrh : (πr^2)h, or (2πr^2 + 2πrh) / ((πr^2)h)

Simplifying this, we get 2(r+h) / rh.