(a) Find the time (in hours) required to fill a cylindrical water tank through a pipe
at the rate of 11 litres per minute, if the volume of the tank is 33m3
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Answer:
OK I will stay away from Calculus and do this the mathematics way for you
Pay attention:
Volume of 1 cm of tank height -
V1= Pi (140/2)^2 = 15,391 CC or 15.931 L per cm height
Volume of 30 cm height - V2 = V1 x 30 = 15.931 x 30 = 477.93 L
Time to reach 30 cm fall at Leak rate L1 is 33 L / hour.
T1 = V2/L1 = 477.93/33 = 14.483 Hours. 14 hours 28 minutes 58.8 seconds.
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