If a hemisphere and a cylinder stand on equal base and have the same height, find the ratio of their volumes.


Answer:

2:3

Step by Step Explanation:
  1. The volume of a cylinder of radius r and height h is πr2h.
  2. The volume of a hemisphere of radius r is 23πr3.
  3.  Volume of hemisphere  Volume of cylinder =23πr3πr2h [r=h]=23
    So, the ratio of their volumes will be . Cancelling out the equal terms we find the ratio as 2:3.

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