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

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> 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       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


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(12701) 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
: