raraujo2133 raraujo2133
  • 10-01-2020
  • Mathematics
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A metal sphere of radius 9 is melted and transformed into three identical spheres. What are the radii of these spheres?

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agaue agaue
  • 10-01-2020

Radius of identical spheres = 6.24

Step-by-step explanation:

Here volume remains constant.

Volume of big sphere = Volume of 3 identical small spheres.

Let r be the radius of small sphere,

We have

                   [tex]\frac{4}{3}\pi \times 9^3=3\times \frac{4}{3}\pi \times r^3\\\\3r^3=9^3\\\\r^3=243\\\\r=6.24[/tex]

Radius of identical spheres = 6.24

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