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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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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.

User Berkcan
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2 Answers

5 votes

The correct answer is 8/(3 pi)

User Doovers
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8.2k points
3 votes
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``
User Jared Clemence
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8.2k points
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