Question

# 27 small spheres with radius 5cm are melted to form a new sphere. Find the radius of the new sphere.

Solution

## Given radius of small spheres = 5 cm ∴Volume=43πr3 volume of 27 small spheres = 27×43πr3=36πr3 Let R be the radius of big sphere ∴  Volume of 27  small sphers = Volume of big sphere ⇒36/πr3=43/πR3⇒36×34×r3=R3⇒R3=27×(5)3⇒R3=33×53⇒R=3×5=15cm

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