Question

A hemispherical tank full of water is emptied by a pipe at the rate of \[\frac{25}{7}\] litres per second. How much time will it take to half-empty the tank, If the tank is 3 metres in diameter?

 

Answer 1

Volume of half of hemispherical tank

`=2/3pir^3`

`=2/3 xx 22/7 xx (3/2)^3`

` = (49500)/7`ltr.

Amount of water emptied by pipe in 1 sec.`= 25/7`ltr

So, time taken

`=7/25 xx (49500)/7`

` = 1980 sec`

`= (1980)/60 min`

`= 33 min`

To half empty the tank line

` = 33/2`

` = 16.5 min`