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?
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Diameter given = 3m = 300 cm
=> radius( r) = 300/2 cm = 150 cm
Volume of water = volume of hemisphere = 2/3π r^3
= 2/3 * π * 150*150*150
Half of the volume = (1/3 * π* 15 * 15 * 15 * 1000) cu cm
= (2475 * 10^4) /7 cucm
Since 1000 cu cm = 1 litre
=> (2475*10^4) /7 cu cm = 2475*10^4) / 7000
= 24750/7 litre
Since , 25/7 litre is emptied in 1 second
24750/7 litre will be emptied in(24750*7)/25*7 seconds
=990 seconds = 16 min 30 sec
Hope this will help u!
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