SOLUTION: A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm of air. How much air does the balloon hold when the design is 10 cm wide? Explain the method you use
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-> SOLUTION: A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm of air. How much air does the balloon hold when the design is 10 cm wide? Explain the method you use
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Question 981190: A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm of air. How much air does the balloon hold when the design is 10 cm wide? Explain the method you use to find the amount of air. Answer by solver91311(24713) (Show Source):
In order for the design to double in size, the circumference of the sphere must double in size. The circumference is directly proportional to the radius, so if the circumference doubles, the radius must double. The volume of a sphere is directly proportional to the cube of the radius. So if you double the radius, the volume increases by times.
John
My calculator said it, I believe it, that settles it
