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  • 19-01-2019
  • Mathematics
contestada

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.

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 19-01-2019

Hello from MrBillDoesMath!

Answer:

 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

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