The total surface area of a cylinder is 462 cm . Its curved surface area is
one third of its total surface area. Find the volume of the cylinder.
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Answer:
Total surface area of a solid cylinder = 462 sq cm.
Curved surface area = 462/3 = 154 sq cm.
The area of the two ends = 462–154 = 308 sq cm.
The area of each end = 308/2 = 154 sq cm.
Radius of the cylinder = [154*7/22]^0.5 = 49^0.5 = 7 cm.
Height of the cylinder = 2pi*rh = 2*(22/7)*7*h = 154 or h = 154/44 = 3.5 cm.
Volume of cylinder = (22/7)*7^2*3.5 = 539 cc.
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