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A metallic sphere of radius 6 cm is melted and recast into a cylinder of radius 4 cm. Find the height of the cylinder. (answer in cm)

Competition practiceAreas & Volumes

A18
B12
C24
D16

Step-by-Step Solution

Volume of sphere = (4/3)π

(6^{3}) = 288

π. Cylinder volume = π

(4^{2}) h = 16

π

h

. Equate: 16π

h = 288

π →

h = 18

.

Answer: A) 18

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