Twenty seven iron spheres each radius 2 cm are melted to form a new sphere find the surface area of new sphere
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Let the radius of the New Sphere be R cm.
Now,
Volume of 27 spheres = 27 * 4/3 * pi * r^3
=> Volume = 36 * pi * 8
Then,
Volume of new sphere = Volume of 27 Spheres
=> 4/3 * pi * R^3 = 36 * pi * 8
=> R^3 = 64/3
=> R = 4/ cube root 3 cm
Now,
Volume of 27 spheres = 27 * 4/3 * pi * r^3
=> Volume = 36 * pi * 8
Then,
Volume of new sphere = Volume of 27 Spheres
=> 4/3 * pi * R^3 = 36 * pi * 8
=> R^3 = 64/3
=> R = 4/ cube root 3 cm
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