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Question
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.
Solution
We have,
Height (h) of cone = Radius (r) of cone = 1 cm
Radius (r) of hemispherical = Radius of cone (r) = 1 cm
Volume of solid = Volume of cone + Volume of hemispherical
= `1/3 pir^2h + 2/3pir^3`
= `1/3pi[(1)^2 xx 1 + 2 xx (1)^3]`
= `1/3 pixx 1 xx 3`cm3
= π cm3
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