three spheres whose radii are in the ratio 4:3:2 are melted and converted into a single cube whose diagonal is 6 cm. find the radii of the three spheres
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Volume of solid sphere =
3
4
π[R
1
3
+R
2
3
+R
3
3
]
⇒
3
4
πR
3
=
3
4
π[3
3
+4
3
+5
3
]⇒R
3
=216⇒R=
3
216
=6cm
∴ Radius of solid sphere =6cm
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