Volume and Surface Area
4 SSC CGL Quantitative Aptitude previous year questions on Volume and Surface Area — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
PYQThe curved surface area of a right cylinder is 3696 cm2. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π = )
✓ Correct answer: a) 25.872
ExplanationLet the radius of the cylinder be r, Then, height = 3r.Given: Curved surface area of cylinder = 3696 2πrh = 3696 ⇒ ⇒ ⇒r2 = 196 ⇒ r = 14 cm Therefore, height = 3 × 14 = 42 cm Now, volume of cylinder = πr2h = = 25872 cm3 We know that, 1000 cm3 = 1 litre Therefore, Capacity of the cylinder = = 25.872 litres
Q2
PYQThe height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. Two identical conical holes each of radius 5 cm and height 12 cm are drilled out. What is the surface area (in cm2) of the remaining solid?
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Q3
PYQThe radii of two right circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27 :16. What is the ratio of their heights?
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Q4
PYQThe area of the base of a right circular cone is 81π cm2 and its height is 12 cm. What is the curved surface area (in cm2) of the cone?
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