.The volume and the curved surface area of a cylinder are 1650 cm3 and 660 cm2
respectively. Find the radius and height of the cylinder.
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Answer:
r = 5 , h = 21
Step-by-step explanation:
equation for curved surface area of cylinder=2Πrh
equation for volume of cylinder=Πr^2h
surface area : volume =
2Πrh : Πr^2h = 2r : r^2
= 660 : 1650
therefore
660r^2 = 1650×2r
r^2 = 3300r/660
= 5r
r×r = 5×r
therefore
r = 5
2Πrh = 660
2Π×5h = 660
h = 660/10Π
= 21
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