Question

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

Answer 1

Let S be the total surface area. Then

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Discussion:

Let S be the total surface area. Then

S = 2Pi r*h + 2 Pi r^2 => subtract 2 PI r^2 from both sides

S - 2 PI r^22 = 2 PI r*h => divide both sides by 2 PI r

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Thank you,

MrB

Explanation: