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!!!!

Answers (1)

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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