Question

Water is poured from a cylindrical container of length 10 m and radius 7 m into a cubical tank of side 10 m. Find the amount of water that will spill out of the cubical tank (in litres).

Answer 1

Radius of the cylindrical container (r) = 7 m
Length (h) = 10 m
Volume of the cylinder = $\pi r^{2}h$

= $\frac{22}{7}\times 7\times 7\times 10$

= $1,540m^3$

And, volume of cube = $a^3$

So, volume of cubical tank = $10\times 10\times 10$
= $1,000m^3$

Volume of the cylinder is more than that of the cubical container.

Hence, water that will spill out = (Volume of cylinder – Volume of cube)

= 1540-1000

= $540m^3$

$1m^3$ = 1,000 Litres
Hence $540m^3$ = 5,40,000 litres
The amount of water that will spill out = 5,40,000 litres