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Water flows out of a pipe at a rate of 40(pi cm^2) per seconds into…

Water flows out of a pipe at a rate of 40(pi cm^2) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

  • A.
    10 cm
  • B.
    14 cm
  • C.
    16 cm
  • D.
    20 cm
Correct Answer: Option A
Explanation

Volume of a cylinder = (pi r^2h)

40(pi cm^3) = (pi. 4^2h)

40(cm^3) = 16h

h = 2.5cm/sec

In 4 seconds, 2.5cm x 4

= 10cm