Question

Observe the measure of pots in figure $7.8$ and $\mathrm{7.9.}$ How many jugs if water can the cylindrical pot hold?

Answer 1

Height of conical water jug, $h=10cm$
the radius of a cylindrical pot, $R=7cm$
Height of cylindrical pot, $H=10cm$
Let n be the number of jugs of water that cylindrical pot can hold.

$[\therefore n=\frac{\text{Volume of cylindrical water pot}}{\text{Volume of conical water jug}}]$

$[\Rightarrow n=\frac{\pi R^{2}H}{\frac{1}{3}\pi r^{2}h}]$

$[\Rightarrow n=\frac{3\times {\left(7\right)}^2\times 10}{{(3.5)}^2\times 10}=12]$

Thus, the cylindrical water pot can hold water of $12$ conical water jugs.