Question

Question 115

A cylindrical tank has a radius of 154 cm. It is filled with water to a height of 3m. If water to a height of 4.5 m is poured into it, what will be the increase in the volume of water in kL?

Answer 1

Radius of cylindrical tank = 154 cm
Initial height of water tank = 3 m $=3\times 100cm$ [$\because$ 1 m = 100 cm]
$\therefore$ Volume of water $=\pi r^{2}h=\frac{22}{7}\times 154\times 154\times 3\times 100$
$=22360800c{m}^3$
If height of water 4.5 m is poured into it, then volume of water
$=\frac{22}{7}\times 154\times 154\times 4.5\times 100=33541200c{m}^3$
Increase in volume $=33541200-22360800$
$=11180400c{m}^3$
$=11180.4L$ $[1000c{m}^3=1L]$
$=11.1804kL$ [1 kL = 1000 L]