Engineering Board Exam Reviewer · Related Rates (Time Rates) · easy

A rectangular water tank has a base 4 m by 3 m. Water is pumped in at 6 m3/min. Find the rate at which the water level is rising.

  1. 0.5 m/min
  2. 1.0 m/min
  3. 2.0 m/min
  4. 0.25 m/min

Answer

A. 0.5 m/min

Solution

V=12h (base area × height), so dV/dt=12dh/dt. 6=12dh/dt dh/dt=0.5 m/min.

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