Question:
A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them is being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid. (Use π = 22/7).
Solution:
Height of cone = 9.5 − 3.5 = 6 cm
Volume of the solid = Volume of cone + Volume of hemisphere
$=\frac{1}{3} \pi r^{2} h+\frac{2}{3} \pi r^{3}$
$=\frac{1}{3} \times \frac{22}{7} \times(3.5)^{2} \times 6+\frac{2}{3} \times \frac{22}{7} \times(3.5)^{3}$
$=77+89.83$
$=166.83 \mathrm{~cm}^{3}$
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