Some solid metallic right circular cones, each with diameter of the base 8 cm and height 6 cm are melted to form a solid sphere of radius 12 cm. Find the number of right circular cones which are melted.

Correct option is C

Let Number of Cones be x

Number of Cones × Volume of Cone =  Volume of Sphere

$$x ×\frac{1}{3}{\pi}r^2 h = \frac{4}{3}{\pi}r^3$$

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$$x×\frac{1}{3}{\pi}4^2 ×6 = \frac{4}{3}{\pi}12^3$$

x = 72 cones