1. A solid is in the shape of a cone standing on a hemisphere with both their radii being
equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid
in terms of
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Answer:
We have
Radius of the cone =r1=1cm
Height of the cone =h1=1cm
Radius of the hemisphere =r2=1cm
Volume of the solid = volume of the cone +volume of the hemisphere
=31πr12h12+32πr23
=(31π×12×1+32π×13)cm3
=π cm3
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