SOLUTION: please help me solve this question 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 ta

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Question 1016132: please help me solve this question
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
Found 2 solutions by Alan3354, addingup:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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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r = 1.5 meters
Vol+=+4pi%2Ar%5E3%2F3 --> 2pi%2Ar%5E3%2F3 for 1/2 the sphere.
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"1/2 the tank" is pi%2Ar%5E3%2F3
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Using 1.5 meters gives cubic meters.
1 cubic meter = 1000 liters
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time = liters/(liters/sec) in seconds


Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
4/3*pi*r^3 is the volume
The diameter is 3, so the radius is 3/2=1.5
Now find the volume which will equal the amount of water in the tank.
4/3*pi*1.5^3 Follow the order of operations:
4/3*pi*3.375
4/3*10.60
(4*10.60)/3 = 14.13 is the volume
I ran out of time. Divide 14.13 by 25/7 and you get your answer.