A solid metallic cone is melted and recast into a solid

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A solid metallic cone is melted and recast into a solid cylinder of the same base as that of the cone. If the height of the cylinder is 7cm, the height of the cone was

1. 20 cm
2. 21 cm
3. 28 cm
4. 24 cm

Correct Option: B

Volume of the cone = Volume of the cylinder

⇒	1	πr²h₁ = πr²h₂
	3

⇒ h₁ = 3h₂ = 3 × 7 = 21 cm.