SOLUTION: The weight of a synthetic ball varies directly with the cube of its radius. A ball with a radius of 2 inches weighs 4.40 pounds. Find the weight of a ball of the same material with

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Question 1127388: The weight of a synthetic ball varies directly with the cube of its radius. A ball with a radius of 2 inches weighs 4.40 pounds. Find the weight of a ball of the same material with a​ 3-inch radius.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of the radii is 3/2; the ratio of the weights is (3/2)^3.

4.40%2A%283%2F2%29%5E3+=+4.40%2A%2827%2F8%29+=+27%28.55%29+=+14.85

The larger ball weighs 14.85 pounds.