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

\[\pi r^2 x = 28 \times 16 \times 11\]

\[ \Rightarrow \frac{22}{7} \times 28 \times 28 \times x = 28 \times 16 \times 11\]

`x = (28 xx 16 xx 11xx 7)/(22 xx 28 xx 28)`

  ` = 16/8`

 `x = 2m`

Thus, the depth of cylindrical tank = 2 m.