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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/πR336×34×r3=R3R3=27×(5)3R3=33×53R=3×5=15cm

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