If a cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic meters per minute, how fast is the height of the water increasing?

Question

Mathematics

Jorge Lara

27 March, 03:23

If a cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic meters per minute, how fast is the height of the water increasing?

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Answers (1)

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Aubree Mooney · Answer 1

Find the volume

V=hpir^2

v=hpi5^2

v=25hpi

v=78.5398h

for t=1, the amount of water is 3

3=78.5398h

divide both siddes by 78.5398

0.038197=h

this is for 1 minute

0.038197meters per minute or

3.8cm per minute