A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 30%, 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.

Question

Mathematics

Mckenzie

1 October, 12:04

A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 30%, 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.

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Answers (1)

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Rylan Randolph · Answer 1

69%

Step-by-step explanation:

If the diameter is increased by 30%, it is effectively multiplied by the factor ...

1 + 0.30 = 1.30.

Volume is proportional to the square of the diameter, so the larger can's volume is ...

(1.30) ² = 1.69

times that of the smaller can. That is, 0.69 = 69% of the volume of the smaller can has been added to make the volume of the larger can.

The volume of the larger can is 69% more than that of the smaller can.