An ice cream cone company wants to adjust the existing dimensions of their cones, but maintain the same amount of volume. Their cones currently have a radius of 2.8cm and height of 14.3cm. Explain why the height of the cone is inversely proportional to the square of its radius and why the possible values for the radius should be between 2.5cm and 3.5cm and why it was done

An ice cream cone company wants to adjust the existing dimensions of their cones, but maintain the same amount of volume. Their cones currently have a radius of 2.8cm and height of 14.3cm. Explain why the height of the cone is inversely proportional to the square of its radius and why the possible values for the radius should be between 2.5cm and 3.5cm and why it was done

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

An ice cream cone company wants to adjust the existing dimensions of their cones, but maintain the same amount of volume. Their cones currently have a radius of 2.8cm and height of 14.3cm.

Explain why the height of the cone is inversely proportional to the square of its radius and why the possible values for the radius should be between 2.5cm and 3.5cm and why it was done?

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