SOLUTION: A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 30% . By what percentage

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Question 287686: A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 30% .
By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 30% .
By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.
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Original Volume: (pi)(d/2)^2*h
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Enlarged Volume: (pi)(1.3d/2)^2(1.3h)
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Divide Enlarged by Original to get:
=(1.3)^2(1.3)
=(1.3)^3
= 2.197
= 219.7%
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Cheers,
Stan H.
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