Question

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 1.5 inches can fill the tub in 8 ​minutes, how long will it take the tub to fill if a pipe of radius 3.5 inches is​ used?

Answer 1

`T= (k)/(r^(2))`

`8= (k)/(1.5^(2))`

`k=8*(2.25)=18`

`T= (18)/(3.5^(2))=1.47min`