sweetmomBxero sweetmomBxero

30-07-2016
Mathematics

Answered

A solid gold cube with edge of 2" is melted down and recast as a cone with a 3" radius base. Find the height of the cone.

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HomertheGenius HomertheGenius

01-08-2016

A cube and a cone will have the same volume.
V ( cube ) = a ³ = 2³ = 8
V ( cone ) = 1/3 r² π h = 1/3 · 3² · 3.14 · h = 8
9.42 h = 8
h = 8 : 9.42 = 0.849``

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schoolstuffE schoolstuffE

13-09-2018

The correct answer is 8/(3 pi)

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