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Question

Water is flowing into a vertical cylindrical tank of radius 2ft. at the rate of 8 cubic ft. per minute.

The water level is rising at the speed of (ft . per minute)


A

π2

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B

2π

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C

2

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D

None of these

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Solution

The correct option is B

2π


Explanation for the correct option

Given

  • Radius of vertical cylindrical tank is 2ft.
  • Water is flowing in vertical cylindrical tank at rate of 8 cubic ft. per minute

Volume of the vertical cylindrical tank is given by V

V=πr2h=4πhdVdt=4πdhdtdhdt=14πdvdt=14π×8=2π

Hence, the correct option is (B) i.e. 2π


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