Hurry
given the equation for the total surface area of a cylinder, solve for the height of the cylinder 2πrh + 2πr²

Hello from MrBillDoesMath!

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

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step-by-step explanation: