Question 198114: The radius of a can soup is 2 in. and the height is 7 in.
If the radius of the can is cut in half and the height is doubled, what effect will this have on the amount of soup in the can? Provide a mathematical explanation of your answer.
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Remember,, VOLUME is Area of base * Height
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V1 = pi * r^2 * h
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V2 = pi *(r/2)^2 * (2h) = pi * r^2 / 4 * 2h = (pi * r^2 *h) * (1/2) = (1/2) * V1
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numerically,,, V1 = pi * 2^2 * 7 = 97.96 = 88
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V2 = pi * (2/2)^2 * (2)(7) = pi *1^2 *14 = 43.98 = 44
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