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Surface Areas and Volumes
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27/06/2021 12:31 pm
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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 π.
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27/06/2021 12:36 pm
Volume of solid = Volume of conical part + Volume of hemispherical part
We know the volume of cone = \(\frac{1}{3}\) πr2h
The volume of hemisphere = \(\frac{2}{3}\) πr3
So, volume of solid will be
= \(\frac{1}{3}π(1)^2[1+2(1)]cm^3\)
= \(\frac{1}{3}π \times 1 \times 3 cm^3 \)
= πcm3