SSC CGL 2019 PYQ — Question 14

SSC CGL Tier II Quant - 11/09/2019 • Quantitative Aptitude • Q14

A right circular cylinder of maximum volume is cut out from a solid wooden cube. The material left is what percent of the volume (nearest to an integer) of the original cube ?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 ie 21.

Radius = a/2

Height = a

Volume of cylinder =  π r2h

=  π × (a²/4) × a

=  π  × (a3/4)

= 0.21a3

Hence, 0.21 = 21