Answer :

Volume of a hemisphere = (2/3)πr3


Volume of a right circular cone = (1/3)πr2h


Volume of a cylinder = πr2h


Given, a cone, a hemisphere and a cylinder stand on equal bases and have the same height.


Height of a hemisphere is the radius and equal bases implies equal base radius.


Thus, height of cone = height of cylinder = base radius = r


Ratio of volumes = (1/3)πr2h : (2/3)πr3 : πr2h


Ratio of volumes = r3 : 2r3 : 3r3 = 1 : 2 : 3

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