A hemispherical tank full of water is emptied by a pipe at the rate of `(25)/7`litres per second. How much time will it take to empty half the tank, if it is 3m in diameter?

Explanation

Volume of hemispeherical tank, `V = 2/3pir^3`

Here, diameter,`d= 3m`

So, radius, `r = 1.5m`

So, `V = 2/3**22/7**(1.5)^3 = 2/3**22/7**27/8=99/14`

`V/2 = 99/28`


Let `t` is the time taken in seconds to empty half of the tank,
As, the tank is emptied at the rate of `25/7` litres per second. then,

`25/7**t = 99**1000/28`(Multiplied by 1000 to convert it into litres)

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