Three spheres made of copper having the lengths of 3 cm. 4 cm. and 5 cm. radii are melted and a large sphere is made. Let us write by calculating the length of radius of the large sphere.
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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