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Question:

A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10cm, and its base is of radius 3.5cm, find the volume of wood in the toy. [Use π=22/7]

425

205.33

290

474.83

Solution:

Given height of cylinder=10cmRadius of cylinder=3.5cmThe volume of toy=Volume of cylinder−2;×Volume of a hemisphere=πr2h−(2×23πr3)=[π(3.5)2×10]−(2×23×π(3.5)3)=205.251 cm3