Given the equation for the total surface area of a cylinder, solve for the height of the cylinder.
s=2πrh+2πr^2
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)