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

Explanation

Given , internal diameter of a hemispherical tank = 14 m
and internal radius of a hemisphericaltank , r= 7 m

Water in the hemispherical tank = 50 kL ` = 50 xx 1000 L = 5000 L " " [because kL = 1000L]`
` = 50 m^(3) " "[because 1 m^(3) = 1000L]`
`therefore` Volume of water in the hemispherical tank `= (2)/(3) pir^(3) =(2)/(3) xx (22)/(7) xx (7)^(3)`
`= (2)/(3) xx (22)/(7) xx7 xx 7xx7 = 718.66 m^(3)`
Now , volume of water pumped in the hemisphierical tank `= 718.66 - 50 = 668.66m^(3)`
Hence, the volume of water pumped into the tank is `668.66m^(3)`.