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The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4 ft long with a diameter of 1.6 ft. Suppose gas is poured into the tank at a rate of 2.3 ft per minute. How many minutes does it take to fill the empty tank? Use the value 3.14 for L, and round your answer to the nearest minute. Do not round any intermediate computations.​

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Answer:

  • ≈ 3 minutes

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The time is:

  • time = volume/rate

The rate is given - 2.3 ft³/min.

Find the volume of cylinder:

  • V = πr²h
  • V = 3.14*(1.6/2)²*4 = 8.0384 ft³

Find the required time:

  • time = 8.0384/2.3 = 3.49495652174 ≈ 3 min (rounded)
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