Question

A hemispherical tank is emptied by a pipe at the rate of 5 litres per minute. How long
will it take to half empty the tank if it is 1
1
2
metre in diameter.
(Take π = 22
7
and 1litre = 1000cm3)

Answer 1

Radius=3/2 m

volume of hemisphere=2/3 πr³

=2/3 * 22/7 * (3/2)³ =99/14 m³

vol. of water that would be emptied=1/2 of vol.of hemispherical tank

=1/2 *99/14 =99/28 m³

vol.=99/28 m³ *1000 litres

=99000/28 litres

in 1 second as 5 litres of water would be emptied

so,99000/28 litres of water would be emptied in =99000/(28*5)

=99000/140

=707 seconds

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