SOLUTION: A tall cylindrical cylinder 6 cm in diameter contains some water. Nine steel spheres of diameter 4 cm are put into the water. If all the spheres are under water, and no water overf

Algebra ->  Bodies-in-space -> SOLUTION: A tall cylindrical cylinder 6 cm in diameter contains some water. Nine steel spheres of diameter 4 cm are put into the water. If all the spheres are under water, and no water overf      Log On


   

Question 1138216: A tall cylindrical cylinder 6 cm in diameter contains some water. Nine steel spheres of diameter 4 cm are put into the water. If all the spheres are under water, and no water overflows from the container, then what is the rise in water level in cm?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
9%284%2F3%29pi%284%2F2%29%5E3, volume of the spheres, v.

x, the change in water level in cylinder

x%2Api%2A%286%2F2%29%5E2=v
Simplify v, and solve for x.