SOLUTION: Three identical spheres of radius 4 inches, are placed in a cylinder of radius 7 inches. Find the minimum volume of water needed to completely submerge the three spheres.

Question 1025614: Three identical spheres of radius 4 inches, are placed in a cylinder of radius 7 inches. Find the minimum volume of water needed to completely submerge the three spheres.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Three identical spheres of radius 4 inches, are placed in a cylinder of radius 7 inches. Find the minimum volume of water needed to completely submerge the three spheres.
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Make a sketch with 4" circles inside a rectangle 14" wide.
The bottom sphere is tangent to the bottom and 1 side.
The middle sphere is tangent to the other side and the bottom sphere.
Its center is 4 + sqrt(28) from the bottom.
The top sphere's center is at 4 + 2sqrt(28) from the bottom --> the top of the top sphere is 8 + 2sqrt(28) inches from the bottom.
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Vol of the cylinder is
Subtract 3 times one sphere's volume:
-->
= cubic inches
=~ 460.5 cu in
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