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 25%. By what percentage

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Question 167877: 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 25%.
By what percentage does the volume of the can increase from the smaller can to the larger can?



Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
. For the larger can, both the diameter and the height have been increased by 25%.
By what percentage does the volume of the can increase from the smaller can to the larger can?
:
Volume = pi%2Ar%5E2%2Ah
:
original can r=1, h=1
:
New can r = 1.25; new h = 1.25
:
pi%2A1%5E2%2A1 = 3.1416 original v
pi%2A1.25%5E2%2A1.25 = 6.136 new v
:
6.136 - 3.1416 = 2.99; vol increase
:
2.99%2F3.1416 = .9531 * 100 = 95.31 % increase in volume
: