A metallic sphere is 42 cm in radius, is melted and recast into 216 small equal spheres. Find radius of small spheres.

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Solution

Let the radius of small spheres b3 $r$ .

Since, the volume will be same.

Therefore,
$\frac{4}{3} π \times 42^{3} = 216 \times \frac{4}{3} π r^{3}$
$42^{3} = 216 r^{3}$
$r^{3} = 343$
$r = 7 c m$

Hence, this is the answer.

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A metallic sphere is 42 cm in radius, is melted and recast into 216 small equal spheres. Find radius of small spheres.

Let the radius of small spheres b3 r.Since, the volume will be same.Therefore,43π×423=216×43πr3423=216r3r3=343r=7 cmHence, this is the answer.

Let the radius of small spheres b3 $r$ .

Since, the volume will be same.

Therefore,
$\frac{4}{3} π \times 42^{3} = 216 \times \frac{4}{3} π r^{3}$
$42^{3} = 216 r^{3}$
$r^{3} = 343$
$r = 7 c m$

Hence, this is the answer.