Question

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.

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``

Answer 2

The correct answer is 8/(3 pi)