Volumes Practice Test 2

Question : 10 of 40

Marks: +1, -0

If a solid sphere of 3 cm radius is melted and recast into a right circular cone whose base radius is same as that of the sphere, the height of the cone will be

8 cm
12 cm
6 cm
5 cm

Validate

Solution:

Volume of the cone = Volume of the sphere
∴

1/3 π(3)^2 × h

4/3 π × 3^2

⇒ h = 12 cm
Hence, height of the cone = 12 cm.

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