A cone with volume 1350 m³ is dilated by a scale factor of 13. What is the volume of the resulting cone?

Question

Mathematics

Haney

20 February, 16:32

A cone with volume 1350 m³ is dilated by a scale factor of 13. What is the volume of the resulting cone?

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Answers (2)

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Roberto Downs · Answer 1

The term dilate means that the new cone is wider, broader, or bigger than the cone in the given. I would assume that the given scale is 1:3. This means that the dimensions of the second one is 3 times than those of the first. We cube 3 and multiply the answer with the given volume of the original cone in order to solve for the volume of the second cone. That is,

volume of second cone = (1350 m³) (3³)

= 36,450 cm³

Meghan Mcdaniel · Answer 2

50 m³

(1/3) ³ = (0.037037037) * (1350) = 50