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Question
A rectangular water tank measuring 8mx6mx 4 cm is filled from a pipe of cross sectional area 1.5 cm2, the water emerging at 10 m/s. How long does it take to fill the tank?
Solution
Time taken to fill the tank
= `"Volume of the tank"/"Volume of water flown in it 1 s"`
Volume of tank
= 800 x 600 x 4cm3
Volume of water flown out of the pipe in 1 s
= Area of cross section x Rate of flow
= 1.5 x 10(m/s)
= 1.5 x 10 x 100(cm/s)
= 1500cm
∴ The time taken to fill the tank
= `(800 xx 600 xx 4)/(1500)`
= 1280s
∴ The time taken to fill the tank is 1280s.
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