A solid sphere is melted and recast into a right circular

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A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of sphere. What is the ratio of the height and radius of the cone so formed?

1. 4 : 3
2. 2 : 3
3. 3 : 4
4. 4 : 1

Correct Option: D

In this case volume remains same.

∴	4	πR³ =	1	πR³H
	3		3

⇒ 4 R = H
⇒ H : R = 4 : 1