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SSC CGL 2022 PYQ — Question 53

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q53

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The volume of a cylinder is 4312 cm3. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm2) is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 616.

CSA : TSA = 1 : 3

(2π\pirh) : 2π\pir(h + r) = 1 : 3

h/ (h + r) = 1 : 3

3h = h + r

2h = r

π\pir2h = 4312

22/7 × 2h × 2h × h = 4312

h = 7

r = 2 × 7 = 14 cm.

Curved surface area = (2π\pirh) = 2 × 22/7 × 14 × 7 = 616 cm2.