SOLUTION: The volume of a cylinder of height 8 cm is 1232 cm3. Find its curved surface area and the total surface area.

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Question 953021: The volume of a cylinder of height 8 cm is 1232 cm3. Find its curved surface area and the total surface area.
Answer by lwsshak3(11628) About Me  (Show Source):
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The volume of a cylinder of height 8 cm is 1232 cm3. Find its curved surface area and the total surface area.
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let r=radius of cylinder
let A =Area of one end=πr^2
h=height=8
v=volume of cylinder=1232
A*h=volume
πr^2*8=1232
πr^2=1232/8=154 cm^2(area of one end)
r=√(154/π)≈7
Curved surface area=circumference*height=2πr*8=351.86 cm
Total surface area=2*154+351.86=659.86 cm^2