Question

A hemispherical bowl of internal radius 9 cm is full of water. Its contents are emptied in a cylindrical vessel of internal radius 6 cm. Find the height of water in the cylindrical vessel.

Answer 1

Volume of hemispherical bowl = Volume of cylindrical vessel
$$\begin{gathered} \Rightarrow \frac{2}{3}\mathrm{\pi }{R}^3=\mathrm{\pi }{r}^{2}h \\ \Rightarrow \frac{2}{3}{\left(9\right)}^3={\left(6\right)}^{2}h \\ \Rightarrow h=13.5\mathrm{cm} \end{gathered}$$