# QA – Placement Quizzes | Mensuration 3D | Question 10

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:**(A)** 2 cm**(B)** 3 cm**(C)** 4 cm**(D)** 6 cm**Answer:** **(B)****Explanation:** Volume of Sphere = 4/3 * π * r³ = 4/3 * π * 3³

Volume of Cone = 1/3 * π * r² * h = 1/3 * π * 6² * h

Given,

Volume of Sphere = Volume of Cone

4/3 * π * 3³ = 1/3 * π * 6² * h

h = 4 * 3³ / 6² = 3 cm.

Quiz of this Question

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