A big sphere is made by melting down 64 small spheres, each of radius 2 cm. Find radius
of big sphere.
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Answer:
Step-by-step explanation:
Let R be the radius of big sphere.
General formula for volume of sphere = 4/3πr³.
If we melt or reshape a solid object then the volume will always remain constant no matter what shape you choose.
So, The volume of big sphere = total volume of 64 spheres.
=> 4/3π(R)³ = 64 * 4/3π(2)³
//4/3π on both sides strike out.
=> R³ = 64 * 8
=> R = ∛512 = 8 cm.
Thus the radius of big sphere is 8 cm.
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