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Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 31 · Question 10

9709

As printed in the paper

The question as text

h m 4 m A large cylindrical tank is used to store water. The base of the tank is a circle of radius 4 metres. At time t minutes, the depth of the water in the tank is h metres. There is a tap at the bottom of the tank. When the tap is open, water flows out of the tank at a rate proportional to the square root of the volume of water in the tank.

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 10(a)[4]

  • 10(b)[6]

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