Foundation
Mathematics Foundation
Surface Area and Volume
Cylinder
Cone
Question

A right circular cylinder, a right circular cone and a hemisphere are all having equal base area and height. These volumes are in the ratio,

3 : 2 : 1    

2 : 1 : 3

1 : 2 : 3    

 3 : 1 : 2

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Solution
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We have
Base of right circular cylinder = base of right circular cone = Base of hemisphere
∴   their radius are equal and their height are also equal
      So, the ratio of there volume’s is 
 πr2h  :  13πr2h  :  23πr3
       1   :   13   :   23
        3    :   1      :    2