SOLUTION: A solid metal ball of radius 2 cm is melted and the metal obtained recast to form a solid right circular cone of radius 5 cm. Find the height of the cone.

Question 386510: A solid metal ball of radius 2 cm is melted and the metal obtained recast to form a solid right circular cone of radius 5 cm. Find the height of the cone.
Found 2 solutions by Fombitz, mananth:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The volume of the metal remains the same.
For a sphere,

For a cone,

.
.
.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Volume V of ball = 4/3 * pi*2^3
= 33.5 cm^3
..
Volume V of cone = 1/3 *pi*r^2*h
33.5 = 1/3*pi*5^2*h
...
h=33.5*3/pi*25
h=1.28 cm
height = 1.28 cm
...
m.ananth@hotmail.ca
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