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).

Answer 1

Height of cone = 9.5 − 3.5 = 6 cm
Volume of the solid = Volume of cone + Volume of hemisphere
$$\begin{gathered} =\frac{1}{3}\mathrm{\pi }{r}^{2}h+\frac{2}{3}\mathrm{\pi }{r}^3 \\ =\frac{1}{3}\times \frac{22}{7}\times {\left(3.5\right)}^2\times 6+\frac{2}{3}\times \frac{22}{7}\times {\left(3.5\right)}^3 \\ =77+89.83 \\ =166.83{\mathrm{cm}}^3 \end{gathered}$$