You are given the height and the circumference of the base of a cylinder. describe how to find the surface area of the entire cylinder.

Hello from MrBillDoesMath!

 2 * (Pi r^2) +    (Pi r^2)*h

where r =   C/(2 Pi)

Discussion:

Total surface area of cylinder =

  area of bottoms + surface area of cylinder =

  2 * area of base + (area of base) * h  

Generally, C = 2 Pi r, so r = C/(2 Pi) is known as we are given C. . Plugging this in the above equation gives

  2 * (Pi r^2) +    (Pi r^2)*h

Thank you,

MrB