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A solid sphere of radius 6 cm is melted and recast into a solid cone of base radius 6 cm.
Find the height of the cone formed.

Class 9Volume of a ConeMensuration

A48
B24
C22
D26

Step-by-Step Solution

Sphere =

\frac{4}{3}

π

(6^{3}) = 288

π. Cone =

\frac{1}{3}

π (36)

h = 12

π

h

. Set equal: 12 π

h = 288

π =>

h = 24

cm.

Answer: B) 24

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