10th Class Mathematics Solved Paper - Mathematics 2017 Delhi Set-III

  • question_answer 3) 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.

    Answer:

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


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