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Question

A cone, a hemisphere and a cylinder stand on equal bases and have the same height the ratio of their volume is 
 


Solution

Bases of a cone, hemisphere and a cylinder are same Let radius of each = r 
and height of each = r
Volume of cone =13πr2×r=13πr3
  Volume of hemisphere =23πr3
 and volume of cylinder=πr2(r)=πr3
ratio in their volumes =13πr3:23πr3:πr3=13:23:1=1:2:3
 


Mathematics
RD Sharma
Standard IX

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