SOLUTION: The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know th
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Question 165645: The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The problem is - a beach ball holds 800 cubic inches of air. Another beach ball has a radius that is half of the larger ball. How much air doess the smaller ball hold? I know the formula for finding volume for a sphere - but I don't know how to use it without any additional information. Thanks for your help in this.
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You could solve for the radius, then find the volume of the smaller ball, but that's not necessary.
The volume is a function of the cube of the radius. If the radius is doubled, the volume is 2^3 time, or 8 times.
The 2nd ball's radius is 1/2, so its volume is (1/2)^3 times, or 1/8.
So it's 100 cubic inches or air.
