Question

Question 4
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

Answer 1

Given, internal diameter of the hemispherical tank = 14 m
Internal radius of the hemispherical tank, r = 7 m

Water in the hemispherical tank = 50 kL = $50\times 1000L=50000L$ $[\because 1kL=1000L]$
$=50m^3$ $[\because 1m^3=1000L]$
$\therefore$ Volume of the water in the hemispherical tank $=\frac{2}{3}\pi r^3=\frac{2}{3}\times \frac{22}{7}\times (7{)}^3$
$=\frac{2}{3}\times \frac{22}{7}\times 7\times 7\times 7=718.66m^3$
Now, volume of the water pumped in the hemispherical tank $=718.66-50=668.66m^3$
Hence, the volume of water pumped into the tank is $668.66m^3$.