SOLUTION: Suppose three spherical balls of wax with radius r are packed in a cylinder also with radius r and the balls are melted down. To what depth will the cylinder be filled. The answer
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Question 757981: Suppose three spherical balls of wax with radius r are packed in a cylinder also with radius r and the balls are melted down. To what depth will the cylinder be filled. The answer needs to be in terms of r. I am totally stumped. Thank you Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Suppose three spherical balls of wax with radius r are packed in
a cylinder also with radius r and the balls are melted down.
To what depth will the cylinder be filled.
The answer needs to be in terms of r.
:
Find the vol of the three balls in terms of r
V(r) = 3 * *
Cancel the 3
V(r) = cu/units is the volume of the wax
:
let d = the depth of the wax in the cylinder when melted =
divide both sides by
d = 4r units is the depth
