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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of each sphere = %284%2F3%29%2Api%2Ar%5E3
Three spheres have a total volume of 4%2Api%2Ar%5E3
The volume of liquid wax in the cylinder will be pi%2Ar%5E2%2Ah where h = the height
We can equate the two volumes and solve for h:
4%2Api%2Ar%5E3+=+pi%2Ar%5E2%2Ah
Cancelling pi%2Ar%5E2 from both sides leaves h+=+4r