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?
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FORMULA :
Volume of hemisphere = 1/2 [ 4/3 πr³ ]
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Find Volume of the hemisphere:
Volume = 1/2 [ 4/3 π (2.4)³ ] = 28.953 m³
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Convert m³ to litre:
1 m³ = 1000 litres
28.953 m³ = 28935 litres
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Find time need to empty the tank:
7 litres = 1 second
1 litres = 1/7 second
28935 litres = 1/7 x 28935 = 4136 seconds
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Convert seconds to hours, mins and sec:
4136 seconds = 1 hour 8 minutes 56 seconds
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Answer: It takes 1 hour 8 minutes 56 seconds to empty the tank.
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