A right circular metal cone (solid) is 8 cm high and the

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A right circular metal cone (solid) is 8 cm high and the radius is 2 cm. It is metaled and recast into a sphere. What is the radius of the sphere ?

1. 2 cm
2. 3 cm
3. 4 cm
4. 5 cm

Correct Option: A

Given that, the height and radius of a right circular ,etal cone (solid) are 8 cm and 2 cm, respectively.
i.e., h = 8 cm and r = 2 cm
Let the radius of the sphere is R
Then, by condition,
1/3 π r² h = 4/3 π R³ h
⇒ 4 x 8 = 4 R³
⇒ R³ = (2)³ = ⇒ R = 2
∴ Radius odf the sphere = 2 cm