Question

Select the correct answer. Jack knows the surface area of a cylinder and its radius. He wants to find the cylinder's height. He needs to rewrite the formula: A=2πr (r+h) to find the cylinder's height (h) in terms of the cylinder's surface area (A) and its radius (r). Which is the correct formula?

a h = (A/2π) - r
b. h= r+ (A/2π) r
c. h= (A/2π) r
d. h= (A/2π) r- r²

Answer 1

To find the height of a cylinder given its surface area and radius, use the formula h = (A / (2πr)) - r.

Step-by-step explanation:

To find the height (h) of a cylinder given its surface area (A) and radius (r), we can rewrite the formula A = 2πr(r+h) in terms of h. Here is the correct formula:

Let's break it down step by step:

1. Start with the original formula: A = 2πr(r+h)
2. Isolate (r+h) by dividing both sides of the equation by 2πr: A / (2πr) = r + h
3. Subtract r from both sides to solve for h: (A / (2πr)) - r = h