Question

Find the depth of a cylindrical tank of radius 28 m, if its capacity is equal to that of a rectangular tank of size 28 m × 16 m × 11 m.

Answer 1

Let x be the depth of cylindrical tank.

The radius of tank r = 28 m.

Since,

The volume of cylindrical tank = volume of rectangular tank

$$\begin{gathered} {\mathrm{\pi r}}^2\mathrm{x}=28\times 16\times 11 \\ \Rightarrow \frac{22}{7}\times 28\times 28\times \mathrm{x}=28\times 16\times 11 \end{gathered}$$

Thus, the depth of cylindrical tank = 2 m.