Question

Observe the measures of pots In the given figure. How many jugs of water can the cylindrical pot hold?

Answer 1

Radius of conical water jug, r = 3.5 cm

Height of conical water jug, h = 10 cm

Radius of cylindrical pot, R = 7 cm

Height of cylindrical pot, H = 10 cm

Let n be the number of jugs of water that cylindrical pot can hold.

$$\begin{gathered} \therefore n=\frac{\mathrm{Volume}\mathrm{of}\mathrm{cylindrical}\mathrm{water}\mathrm{pot}}{\mathrm{Volume}\mathrm{of}\mathrm{conical}\mathrm{water}\mathrm{jug}} \\ \Rightarrow n=\frac{\mathrm{\pi }{R}^{2}H}{{\displaystyle \frac{1}{3}}\mathrm{\pi }{r}^{2}h} \\ \Rightarrow n=\frac{3\times {\left(7\right)}^2\times 10}{{\left(3.5\right)}^2\times 10}=12 \end{gathered}$$
Thus, the cylindrical water pot can hold water of 12 conical water jugs.