Concept explainers
What fraction of the can is empty.
Answer to Problem 54PPE
Explanation of Solution
Given:
Three tennis balls with radius r are packed into a cylindrical can with radius r and height
Concept Used:
Calculation:
In order to find the fraction of the can that is empty, first find the volume of the balls and the volume of the can.
Volume of 1 tennis ball is given by
And the volume of the cylindrical can is
So, the empty space in the can after packing the three tennis balls is
Now to find the fraction of the can which is empty, divide the total volume of can by the empty space as shown below
Thus, the fraction of the can that is empty is
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