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Question

A hemispherical bowl fits exactly on the flat surface of a right circular cone whose height is 5 cm and radius is 3.5 cm. Find the volume of the solid formed.


A

144 cm3

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B

132 cm3

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C

154 cm3

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D

169 cm3

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Solution

The correct option is C

154 cm3


We know that,
volume of cone =13πr2h
volume of hemisphere =23πr3

Total volume
= Volume of the cone + Volume of the hemisphere

=13πr2h+23πr3=13πr2(h+2r)=13×227×3.52×(5+7)=13×227×3.52×12=22×0.5×3.5×4=154 cm3

The volume of the solid formed is
154 cm3


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