Get premium membership and access revision papers with marking schemes, video lessons and live classes.
A cylindrical water tank of diameter 7 metres and height 2.4 metres is to be filled by a pipe P of internal radius 3.5 cm. Water flows through the pipe at the rate of 50 metres per minute. A drainage pipe Q can empty the tank in 12 hours.
a) Calculate the time in hours pipe P would take to fill the empty tank.
b) Starting with the empty tank water flows into this tank through pipe P for 6 hours. The drainage pipe Q is then open and left running. Both pipes continue running until the tank is full.
Determine how much longer it takes to fill the tank.