• # question_answer A solid metallic sphere of diameter $16\text{ }cm$ is melted and recasted into smaller solid cones, each of radius $4\text{ }cm$ and height$8\text{ }cm$. Find the number of cones so formed.

 $\text{No}\text{.}\,\,\text{of}\,\,\text{cone}\,\,\text{formed=}\frac{\text{Volume}\,\,\text{of}\,\,\text{sphere}\,\,\text{melted}}{\text{Volume}\,\,\text{of}\,\,\text{cone}}$ $\text{=}\frac{\frac{4}{3}\pi r_{sp}^{3}}{\frac{1}{3}\pi r_{cone}^{2}h}=\frac{4\times 8\times 8\times 8}{4\times 4\times 8}$ $=16$