Mathematics
A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the toy.
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Answer
Given,
The solid wooden toy is in the shape of a right circular cone mounted on a hemisphere.
Radius of hemisphere (r) = 4.2 cm
Total height (h) = 10.2 cm.
Height of conical part (h1) = 10.2 - 4.2 = 6 cm.
Volume of toy (V) = Volume of cone + Volume of hemisphere
=
Putting values we get,
Hence, the volume of the toy = 266.112 cm3.
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