SOLUTION: A ball has a radius of 6cm. Jack puts some balls into a cylindrical tank with a diameter of 24cm containing water. The water level rises 8cm. How many balls are in the tank?

Algebra ->  Volume -> SOLUTION: A ball has a radius of 6cm. Jack puts some balls into a cylindrical tank with a diameter of 24cm containing water. The water level rises 8cm. How many balls are in the tank?      Log On


   

Question 750429: A ball has a radius of 6cm. Jack puts some balls into a cylindrical tank with a diameter of 24cm containing water. The water level rises 8cm. How many balls are in the tank?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the added balls to the cylinder is pi%2A12%5E2%2A8 cm%5E3.

1 ball has volume of %284%2F3%29%2Api%2A3%5E3 cm%5E3.

The simplest question now to ask is, how many of these 1-ball volumes are in the volume difference found in the cylinder? %28pi%2A12%5E2%2A8%29%2F%28%284%2F3%29%2Api%2A3%5E3%29 is how many balls.