A trash can manufacturing company makes trash cans with the dimensions shown. They also make larger cans in which the radius and the height are doubled. Which statement best describes the relationship between the volumes of the trash cans?

Question

Mathematics

Sheena

29 June, 05:48

A trash can manufacturing company makes trash cans with the dimensions shown. They also make larger cans in which the radius and the height are doubled. Which statement best describes the relationship between the volumes of the trash cans?

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Charlize Moses · Answer 1

It is shown that by looking at the formula for the volume of a cylinder (we assume that the trash can is cylindrical):

V = pi*r^2*h

We can conclude that the volume of the trash can is directly proportional to its radius and height. To wrap up, the volume would increase as the radius of the trash can's base, and its height would be increased as well.