SOLUTION: The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 3 inches can fill the tub

Algebra ->  Radicals -> SOLUTION: The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 3 inches can fill the tub      Log On


   

Question 1097318: The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 3 inches can fill the tub in 8 ​minutes, how long will it take the tub to fill if a pipe of radius 4 inches is​ used?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
T=k%2FR%5E2
so,
k=TR%5E2
and
T%5B1%5DR%7B1%5D%5E2=T%5B2%5DR%5B2%5D%5E2
8%2A3%5E2=T%5B2%5D4%5E2
T%5B2%5D=%288%2A9%29%2F16min
Simplify.