Question

A cylindrical container of length 10m and radius 7m starts pouring water into a cubical tank of side 10m. Find the amount of water that will spill out of the cubical tank (in litres)?

• A. 100000 litres
• B. 540000 litres
• C. 920000 litres
• D. 740000 litres

Answer 1

The correct option is B

540000 litres

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

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

= $1540m^3$

And, Volume of cube = $a^3$

So, Volume of cubical tank = $10\times 10\times 10$
= $1000m^3$

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

= $540m^3$

$1m^3$ =1000 Litres
Hence $540m^3$ = 540000 litres
The amount of water that will spill out = 540000 litres