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  • A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of small balls thus obtained. Please answer soon, need it urgently for exam preparation!!!!

A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of small balls thus obtained. Please answer soon, need it urgently for exam preparation!!!!

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Given the radius of the solid sphere $$ = 3cm $$\$$

The volume of a solid sphere

                                        $$ = frac43 pi imes (3)^3 $$\$$

The diameter of the small spherical ball $$ = 0.6 cm $$\$$

The radius of the small spherical ball

                                                          $$ = frac0.62 = 0.3 cm$$\$$

now the volume of the small spherical ball      $$ = frac43 pi imes (0.3)^3 $$\$$

then 

Number of small spherical balls 

                                               $$ = frac43 imespi imes (3)^3 / frac43 pi imes (0.3)^3$$\$$ $$ frac3 imes 3 imes 30.3 imes imes 0.3 imes0.3$$\$$ $$ = 1000 $$

Hence, the number of small spherical balls $$ = 1000$$

 

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Posted by

Deependra Verma

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