Exams › SSC CGL (Prelims) › General

The total surface area of a solid cylinder is 297 cm^2. If its radius is 3.5 cm, find its volume.

1. 451 cm^3
2. 363 cm^3
3. 418 cm^3
4. 385 cm^3

Correct answer: 385 cm^3

Solution

TSA = 2*pi*r*(r+h). 297 = 2*(22/7)*3.5*(3.5+h) = 22*(3.5+h). So 3.5+h = 297/22 = 13.5, giving h = 10 cm. Volume = pi*r^2*h = (22/7)*(3.5)^2*10 = (22/7)*12.25*10 = 22*1.75*10 = 385 cm^3.

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