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A cone with volume 5000 m^3 is dilated by a scale factor of 1/5

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ANSWER

The volume of the dilated cone is


40 {m}^(3)

Step-by-step explanation

The volume of the given cone is


5000 {m}^(3)

When this cone is dilated with a scale factor of 1/5, the volume of the dilated cone becomes,


({ (1)/(5) })^(3) * 5000 {m}^(3)

We simplify to obtain:


{ (1)/(125) }* 5000 {m}^(3)

This gives us:


40 {m}^(3)

User Vincent Teyssier
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