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.

Question

Mathematics

Felicity Yates

4 January, 15:56

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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Answers (1)

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Tamara Rose · Answer 1

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''