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

Volume of a cube:
V = 2³ = 8 ( it is also the volume of a cone );
8 = 1/3 r² · h  · π
8 = 1/3 · 3² · h · 3.14
8 = 9.42 h
h = 8 : 9.42
h = 0.85 ``
Answer: The height of the cone is 0.85``.