A solid is in the shape of a right-circular cone surmounted on a hemisphere, the radius of each of them being 3.5 cm…
CBSE Class 10 Maths PYQ · Surface Areas & Volumes · Volume · 5 Marks · March 2023 · Standard
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445 Marks · March 2023 · Standard
A solid is in the shape of a right-circular cone surmounted on a hemisphere, the radius of each of them being $3.5$ cm and the total height of the solid is $9.5$ cm. Find the volume of the solid.
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Radius of hemisphere = Radius of cone = $3.5$ cm = $\frac{7}{2}$ cm Height of cone = $9.5 - 3.5 = 6$ cm Volume of solid = volume of hemisphere + volume of cone $= \frac{2}{3} \times \frac{22}{7} \times (\frac{7}{2})^3 + \frac{1}{3} \times \frac{22}{7} \times (\frac{7}{2})^2 \times 6$ $= \frac{77}{6} \times 13 = \frac{1001}{6} = 166.8$ cm$^3$
