SOLUTION: A metal ball with radius 8 is melted down and recast as a cone with the same radius. What is the height of the cone
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Question 964582: A metal ball with radius 8 is melted down and recast as a cone with the same radius. What is the height of the cone
Answer by amarjeeth123(570) (Show Source): You can put this solution on YOUR website!
Volume of a sphere=π(4/3)r^3 where r is the radius
Volume of the cone=π(1/3)r^2*h where r is the radius and h is the height
The volumes are equal.
π(4/3)r^3=π(1/3)r^2*h
h=4r=4*8=32 units
Height of the cone is 32 units.
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