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Shape Conversion of Solids

A solid cylin...

Question

A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 3 cm.If the height of the toy is 12 cm, find the number of toys so formed.

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Solution

Diameter of cylinder = 12 cm

Therefore

r = 6 cm

Height = 15 cm

Therefore,

Volume of cylinder

Therefore,

Volume of toy = volume of cone + volume of hemisphere

Therefore,

No. of toys

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