SOLUTION: A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 15%, and the height remains the same. By what per

Algebra ->  Test  -> Lessons -> SOLUTION: A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 15%, and the height remains the same. By what per      Log On


   

Question 1180753: A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 15%, and the height remains the same.
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 greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


V = (pi)(r^2)(h)

The diameter is increased by 15%, so the radius is increased by 15%.

Represent the increase of 15% as multiplication by a factor of 100%+15%=115%=1.15.


The volume of the larger can is 1.3225 times the volume of the smaller; that is an increase of (0.3225*100)=32.25%.

ANSWER (to the nearest percent): 32%