A hemispherical tank of radius 2.4 m is full of water. It is connected with a pipe which empties it at the rate of 7 litres per second. How much time will it take to empty the tank completely?

Given.

A hemispherical tank of radius 2.4 m is full of water

Rate of water flow is 7 litres per second

Formula used/Theory.

Volume of hemisphere = πr3

Volume of hemispherical bowl = πr3

= × (2.4 m)3

= 28.96m3

1m3 = 1000 litres

28.96m3 = 28.964 × 1000 litres

= 28964 litres

Rate of flow is 7 litres in 1 second

Rate of flow is 1 litres in second

Rate of flow is 28964 litres in second

Is 4137.8 seconds

In minutes = = 68.96 minutes

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