6. Metallic spheres of radii 3cm, 4cm, and 5cm respectively are melted to form a single
sphere. Find the radius of resulting sphere.
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Radius of sphere 1 = 3cm
Radius of sphere 2 = 4cm
Radius of sphere 3 = 5cm
volume of 3 spheres = 1/3πr13+1/3πr23+1/3πr33
=1/3π(r13+r23+r33)
=1/3×π(27+64+125)
=1/3×π(216)
=72πcm3
volume of big sphere= volume of 3 spheres
1/3πr3 = 72π
1/3×r3 = 72
r3 = 72×3
r = √216
r = 6cm
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