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!!!!

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

The volume of a solid sphere

$= \frac{4}{3} \pi \times (3)^3 \\$

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

The radius of the small spherical ball

$= \frac{0.6}{2} = 0.3 cm\\$

now the volume of the small spherical ball      $= \frac{4}{3} \pi \times (0.3)^{3} \\$

then

Number of small spherical balls

$= \frac{4}{3} \times\pi \times (3)^3 / \frac{4}{3} \pi \times (0.3)^3\\ \frac{3\times 3\times 3}{0.3\times \times 0.3 \times0.3}\\ = 1000$

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

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