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SSC CGL 2020 PYQ — Question 36

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q36

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The ratio of the radii of two cones is 5 : 6 and their volumes are in the ratio 8 : 9. The ratio of their heights is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 32 : 25

The ratio of the volume of two cones = 8 : 9.

13πr12h113πr22h2\frac{\frac{1}{3} \pi r_1^2h_1}{\frac{1}{3} \pi r_2^2h_2} = 8 : 9

= (5 × 5 × h1)/(6 × 6 × h2) = 8 : 9

=  h1 : h2  = 32 : 25.