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

Competition practiceAreas & Volumes

A8
B6
C12
D4

Step-by-Step Solution

Volume of sphere = (4/3)π

(6)^{3} = 288

π. Cylinder volume = π

(6)^{2} h = 36

π

h

. Setting 36π

h = 288

π gives

h = 8

.

Answer: A) 8

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