A cone with volume 2880 m³ is dilated by a scale factor of 1/4. What is the volume of the resulting cone?

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asked Jul 19, 2018 182k views

2 Answers

Bill · Answer 1 · 2018-07-26T01:34:14+0000

The volume of the cone is 2880 m3.
The scale factor is 1/4.
The volume of the cone has the formula (1/3)π r² h.
A scale factor of 1/4 will reduce the dimensions by 1/4 which will result to a total volume reduction of (1/4)³ = 1/64
The new volume will be 45 m3

A cone with volume 2880 m³ is dilated by a scale factor of 1/4. What is the volume of the resulting cone?

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