A metal sphere of radius 9 is melted and transformed into three identical spheres. What are the radii of these spheres?
1 answer:
<h2>
Radius of identical spheres = 6.24</h2>
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
![\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](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%209%5E3%3D3%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%20r%5E3%5C%5C%5C%5C3r%5E3%3D9%5E3%5C%5C%5C%5Cr%5E3%3D243%5C%5C%5C%5Cr%3D6.24)
Radius of identical spheres = 6.24
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