SOLUTION: Suppose three spherical balls of wax of radius r are packed into a cylinder also with radius r and the wax is melted down, to what depth will the cylinder be filled. Answer in term

Question 757976: Suppose three spherical balls of wax of radius r are packed into a cylinder also with radius r and the wax is melted down, to what depth will the cylinder be filled. Answer in terms of r. I am really stumped. thank you
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The volume of each sphere =
Three spheres have a total volume of
The volume of liquid wax in the cylinder will be where h = the height
We can equate the two volumes and solve for h:

Cancelling from both sides leaves
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