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Question

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder if its total surface area is 616 cm sq.

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Solution

Given that:Curved surface area : Total surface area =1:2
Curved surface area :616=1:2
Curved surface area=6162=308
2πrh2πr(h+r)=12
hh+r=12
2h=h+r
h=r
Curved Surface area=2πrh=2πr2=308 since h=r
2×227r2=308
r2=308×744=49
r=7cm
Since r=h
h=7cm
Volume of the cylinder=πr2h=227×7×7×7=1078cm3
Volume of the cylinder is 1078 cu cm.

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