Question

The surface area of a cylinder is represented by the formula: S = 2πrh + 2πr².

Which formula below can be used to solve for h?

A) h = (S - 2πr²) / (2πr)
B) h = S / (2πr) - 2πr
C) h = S / (2πr²) - 2
D) h = S - 2πr²

Answer 1

The correct formula to find the height (h) of a cylinder from its surface area is h = (S - 2πr²) / (2πr), corresponding to option A.

Step-by-step explanation:

To find the formula for height (h) of a cylinder from the surface area formula S = 2πrh + 2πr², we want to isolate h. Here are the steps:

1. Subtract 2πr² from both sides of the equation to get rid of the term on the right side: S - 2πr² = 2πrh.
2. Divide both sides of the new equation by 2πr to isolate h: (S - 2πr²) / (2πr) = h.

Therefore, the correct formula to solve for h is: h = (S - 2πr²) / (2πr), which corresponds to option A.