SOLUTION: A cylinderical tin has an internal diameter of 18cm.It contains water to a height of 13.2cm.When a heavy spherical ball of diameter 9.3cm is immersed in it,what is the new height o

Algebra ->  Surface-area -> SOLUTION: A cylinderical tin has an internal diameter of 18cm.It contains water to a height of 13.2cm.When a heavy spherical ball of diameter 9.3cm is immersed in it,what is the new height o      Log On


   

Question 1100903: A cylinderical tin has an internal diameter of 18cm.It contains water to a height of 13.2cm.When a heavy spherical ball of diameter 9.3cm is immersed in it,what is the new height of the water level?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The CHANGE in volume when adding the ball:
%284%2F3%29pi%2A%289.3%2F2%29%5E3

The CHANGE in height, x:
x%2Api%2A%2818%2F2%29%5E2=%284%2F3%29pi%2A%289.3%2F2%29%5E3

x%2A9%5E2=%284%2F3%29%2A%284.65%29%5E3

x=%284%2F3%294.65%5E3%2F81
x=4%2A4.64%5E3%2F27
x=14.9---------ADD this to 13.2 cm.