Question
A metal cylinder with a 4 inch radius and a 10 inch altitude is melted and recast into solid right circular cones each with a 1 inch radius and 2 inch altutudes. What is the number of cones formed?
Answers
Dig out your formulas for volume of cylinder and cone:
cylinder V=Bh = pi * r^2 * h = 160pi
cone: V = 1/3Bh = 1/3 pi r^2 * h = 2/3 pi
SO, 160/(2/3) = 240 cones.
cylinder V=Bh = pi * r^2 * h = 160pi
cone: V = 1/3Bh = 1/3 pi r^2 * h = 2/3 pi
SO, 160/(2/3) = 240 cones.
Related Questions
--There is a layer of ice four inches thick covering a small pond when the weather arrives and it be...
A solid metal cylinder with a 4-in. radius and a 10-in. altitude is melted and recast into solid rig...
Jack needs a piece of wood at least 13/16 inch long for some detail work on a project he is working...