Question

A solid metal cylinder with a 4-in. radius and a 10-in. altitude is melted and recast into solid right circular cones each with a 1-in. radius and a 2-in. altitude. The number of cones formed is

Answer 1

240

Explanation:

Volume of the cylinder

= π(4)²(10)

= 160π in³

Volume of the cone

= 1/3 π(1)²(2)

= 2/3 π in³

Number of cones

= 160π ÷ 2/3 π

= 240