Given the equation for the total surface area of a cylinder, solve for the height of the cylinder.

Question

s=2πrh+2πr^2

Answer 1

To solve for the height of the cylinder, we need to isolate the variable h on one side of the equation.

s = 2πrh + 2πr^2

We can start by subtracting 2πr^2 from both sides:

s - 2πr^2 = 2πrh

Then, we can divide both sides by 2πr:

(s - 2πr^2) / (2πr) = h

Therefore, the equation for the height of the cylinder is:

h = (s - 2πr^2) / (2πr)