Question

A cylindrical tank has a capacity of 5632 m cube. If the diameter of its base is 16m find its depth.

Answer 1

Hii!!
Volume = 5632m, d = 16m
So, r = 8m, h = 28m (solution is given in the figure)
Hope it helps!!!

Answer 2

Given,

Capacity of cylindrical tank = 5632 $m^{3}$

Diameter of its base = 16 m

To find,

Depth of the cylindrical tank

Solution,

Capacity of the cylindrical tank equals the volume of the cylinder.

Volume of the cylinder = π$r^{2}h$

We know, diameter = 16 m

Radius = $\frac{Diameter}{2}$

Radius = $\frac{16}{2}$ = 8 m

Now height and depth represent one and the same in case of a cylindrical tank.

So , lets find out

π$r^{2} h = 5632$

π(8x8)h = 5632

πh = $\frac{5632}{64}$

πh = 88

h = $\frac{88}{\pi }$

h = 28.02 m

Hence , the depth of the cylindrical tank is 28.02 m.