Answer :

A toy is in the shape of a cone mounted on a hemisphere of same base radius.


Volume of Toy = 231 cm3


Base Diameter of toy = 7 cm


Base radius of toy = 7/2 cm = 3.5 cm


Volume of hemisphere = 2/3 πr3


= 2/3 × 22/7 × 3.53 cm3



Volume of cone = Volume of hemisphere – Volume of toy



Volume of cone is given by 1/3 πr2h


Where h is the height of cone



Height of cone = 11 cm


Height of toy = Height of cone + Height of hemisphere


= 11 cm + 3.5 cm = 14.5 cm


[Height of hemisphere = Radius of hemisphere]


Height of toy is 14.5 cm.

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