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Question

A sphere and a cube are of the same height. The ratio of their volumes is 
 


  1. 4 : 3
     

  2.  21 : 11
     

  3.  3 : 4

  4. 11 : 21


Solution

The correct option is D

11 : 21


 Let r be the height of a sphere and cube

Radius of sphere=r2

Volume of sphere =43π(r2)3

=43×227×r38=11r321

 and volume of cube =r3

Ratio between their volume 

=11r321:r3

=1121:111:21

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