A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is :	Pick one
A) 8 cm
B) 6 cm
C) 4 cm
D) 3 cm
E) none

Rationale: sol . let the height of the cone be h cm . then , 1 / 3 ∏ * 6 * 6 * h = 4 / 3 ∏ * 3 * 3 * 3 ⇒ h = [ 36 * 3 / 36 ] = 3 cm . answer d
Answer: D