The tank is completely filled with water and then drains completely into the pool. The volume of the cylindrical tank is V1=36r12, where r1 is the radius of the tank in feet.

The volume of the neighborhood pool is V2=12(43r23), where r2 is the radius of the pool.

Since V1= V2, write an equation that shows r1 as a function of r2.
[Hint: set them equal and solve for r1.]
Write an equation that shows r2 as a function of r1.
[Hint: set them equal and solve for r2.]
If the radius of the pool is 15 feet, what is the radius of the tank?

1 answer

r1 = (12(43r23))/(36r12)
r2 = (36r12)/(12(43r23))

If the radius of the pool is 15 feet, then the radius of the tank is 10 feet.