Average Volume

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wickey

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A museum has a collection of Musket Balls of various sizes. We only know that the average diameter of the collection is 8 centimeters. What can you say about the average volume of the balls in the collection? (besides trivial stuff like the average volume is positive)
 
wickey said:
A museum has a collection of Musket Balls of various sizes. We only know that the average diameter of the collection is 8 centimeters. What can you say about the average volume of the balls in the collection? (besides trivial stuff like the average volume is positive)
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Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
 
wickey said:
A museum has a collection of Musket Balls of various sizes. We only know that the average diameter of the collection is 8 centimeters. What can you say about the average volume of the balls in the collection? (besides trivial stuff like the average volume is positive)
Click to expand...
What is the volume of a sphere - as a function of its radius 'r'?
 
Be aware that if you calculate the volume of a sphere with the average radius, it will NOT be the average volume. The average volume will be greater than that (or equal if all spheres have the same radius).
 
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