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

Given:

Height (h) of conical part = Radius(r) of conical part = 1 cm


Radius(r) of hemispherical part = Radius of conical part (r) = 1 cm


Volume of solid = Volume of conical part + Volume of hemispherical part


= πr2h + πr3


= (1)2 (1) + (1)3


= π cm3


Hence, Volume of the solid = π cm3


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