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PilotLPTM [1.2K]

2 years ago

12

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

2 answers:

statuscvo [17]2 years ago

8 0

Answer:

45 m^3

Step-by-step explanation:

Proof Is in the File Attachment.

Confirmation that this is Correct.

labwork [276]2 years ago

5 0

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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