SOLUTION: . A heavy metal sphere with radius 10 cm is dropped into a right circular cylinder with base radius of 10 cm. If the original cylinder has water in it that is 20 cm high, how hi

Algebra ->  Bodies-in-space -> SOLUTION: . A heavy metal sphere with radius 10 cm is dropped into a right circular cylinder with base radius of 10 cm. If the original cylinder has water in it that is 20 cm high, how hi      Log On


   



Question 194009: . A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with base radius of 10 cm. If the
original cylinder has water in it that is 20 cm high, how
high is the water after the sphere is placed in it?

how do I find this? PLEASE

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The volume of the water in the cylinder is:



The volume of the sphere is:



Once you drop the sphere into the water, the water level will rise to a height that represents the volume of the water plus the sphere.

The volume of the water plus the sphere:



Divide the total volume by the area of the base of the cylinder to get the height of the water:

centimeters.


John