Given:

Radius of the three small spheres are 3cm, 4cm and 5cm.

Formula used:

Let the radius of the new sphere be r.

1. Volume of 3cm radius sphere + Volume of 4cm radius sphere + Volume of 5cm radius sphere = Volume of new sphere

2. Volume of sphere = (4/3)×π×r3  (3)3+(4)3+(5)3 = r3

27 + 64 +125 = r3

216 = r3

r = 6

Radius of the new sphere will be 6cm.

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