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CAT 1994 | Question: 56

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Choose the best alternative

A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal their diameters. Then their volumes are proportional, respectively to:

  1. 1:3:1 
  2. 2:1:3
  3. 3:2:1 
  4. 1:2:3

1 Answer

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1 1 vote

Given same parameters ,

Volume of right circular cone   =  1/3 π r2 h    =   2/3 π r3    [  As h  =  2r given  ]

Volume of right circular cylinder   =  π r2 h         =   2 π r3

Volume of hemisphere              =   2/3 π r3

Hence the required ratio            =   1 : 3 : 1  

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