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trooperboy01
trooperboy01 trooperboy01
  • 06-02-2017
  • Mathematics
Answered

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

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 10-02-2017

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


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