SOLUTION: three spherical chocolate candies are tightly packed in a cylindrical tube. the radius of the tube is 3 cm. what volume of air surrounds the candies
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Question 1035235: three spherical chocolate candies are tightly packed in a cylindrical tube. the radius of the tube is 3 cm. what volume of air surrounds the candies Answer by ikleyn(52790) (Show Source):
Let us consider ONE ball packed in this way.
The volume of the ball is .
The volume of the cylinder (radius r and the height 2r) is = .
The difference is = , i.e half of the volume of the sphere.
So, the empty space has the volume half of that of the sphere.
Taken three times (for three chocolate balls), the empty space has the volume .
