Question
A rectangular water tank is 80 m x 40 m . Water flows into through a pipe 40 sq. cm at the opening at a speed of 10 km / hr . By how much , the water level will rise in the tank in half an hour ?
Answer: Option C
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Length of water column flown in 1 min. = `((10 xx 1000)/(60)) m = 500/3 m`.
Volume flown per minute = `(500/3 xx (40)/(100 xx 100)) m^3 = 2/3 m^3`.
Volume flown in half an hour = `(2/3 xx 30) m^3 = 20 m^3`.
`:.` Rise in water level = `((20)/(40 xx 80)) m = (1/160 xx 100) cm = 5/8 cm`.
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