SOLUTION: The time needed to fill a tank varies inversely as the square of the radius of the hose. If a hose of radius 3.5 cm takes 8 min to fill a tank, how long will it take using a hose o

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Question 643535: The time needed to fill a tank varies inversely as the square of the radius of the hose. If a hose of radius 3.5 cm takes 8 min to fill a tank, how long will it take using a hose of radius 2 cm.
Answer by Alan3354(69443) About Me  (Show Source):
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The time needed to fill a tank varies inversely as the square of the radius of the hose. If a hose of radius 3.5 cm takes 8 min to fill a tank, how long will it take using a hose of radius 2 cm.
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t+=+k%2Fr%5E2
k+=+r%5E2%2At
3.5%5E2%2A8+=+2%5E2%2At
t = 12.25*2
t = 24.5 minutes