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Question

A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5cm and the total height of solid is 9.5cm. Find the volume of the solid. (Use π=22/7)

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Solution

Height of cone part = total height radius of the hemisphere

Height of cone =9.53.5=6cm

Volume of the solid =13πr2h+23πr3

V=13π×3.52×6+23π×3.53

V=166.7cm3

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