★ Radius of first sphere = 6cm.
★ Radius of second sphere = 8cm.
★ Radius of third sphere = 10cm.
★ The radius of the resulting sphere formed.
★ As, three spheres are melted to from one new sphere. Therefore, volume of three old sphere is equal to volume of new sphere.
i.e, Volume of first sphere + volume of second sphere + volume of third sphere = Volume of new sphere.
Let,
The radius of resulting sphere be
<u>According</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>question</u><u>,</u>
• Volume of first sphere + volume of second sphere + volume of third sphere = Volume of new sphere.
• here
☆ = 6cm
☆ = 8cm
☆ = 10cm
<u>Putting the values</u><u>,</u>
<u>Takin</u><u>g</u><u> </u>" " <u>common,</u>
Therefore,
<u>Radius of the resulting sphere is 12cm.</u>
★ Figure in attachment.