# QA – Placement Quizzes | Mensuration 3D | Question 9

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is:**(A)** 12 cm**(B)** 14 cm**(C)** 15 cm**(D)** 18 cm**Answer:** **(B)****Explanation:** Volume of the hollow sphere = 4/3 * π * (R³-r³) = 4/3 * π * (4³-2³) = 4/3 * π * 56 cm³

Let the height of the cone be h cm. Then,

1/3 * π * 4 * 4 * h = 4/3 * π * 56

h = (4 * 56 / 4 * 4) = 14 cm.

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