A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and height of the cone is equal to its radius. Then the volume of the solid is:
π
The volume of the composite solid is the sum of the volume of the cone and the volume of the hemisphere: \(V = \frac{1}{3}\pi r^2h + \frac{2}{3}\pi r^3\).
Given \(r=1\) cm and \(h=r=1\) cm, \(V = \frac{1}{3}\pi(1)^2(1) + \frac{2}{3}\pi(1)^3 = \frac{\pi}{3}+\frac{2\pi}{3}\).
So \(V=\pi\).
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