SOLUTION: PLEASE HELP! A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 10%, and the height remains the sa

Question 951975: PLEASE HELP!
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 10%, 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.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Your only choice is do everything in variables, except for the "10%" part, and then compare.

10% increase means size change by factor of 1.10.

Large Can:

Smaller or original Can:

Process the large can volume expression into a volume formula and a factor. What percent increase is that?

What about h and d?
THEY ARE VARIABLES AND ARE UNDERSTOOD THROUGH CONTEXT. THEIR VALUES ARE IRRELEVANT. YOU DO NOT GIVE THEM ANY SPECIFIC VALUE ASSIGNMENT UNLESS YOU WANT TO.
NOTE: d AND h CAN BE ANY POSITIVE REAL NUMBERS.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
PLEASE HELP!
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 10%, 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.

Smaller can�s volume: , or , or , or , with D being diameter
With a 10% increase in diameter, larger can�s diameter becomes: 1.1D, and its radius becomes: , or .55D
Therefore, larger can�s volume = , or
Percent volume increase from smaller to larger can:
)____________________, or %
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