A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take π = 22/7)
Radius of sphere = $$R = 9$$ cm
Let length of wire = $$h$$ cm and radius of wire = $$r = 0.1$$ cm
Volume of sphere = Volume of wire
=> $$\frac{4}{3} \pi (R)^3 = \pi (r)^2 h$$
=> $$\frac{4}{3} \times (9)^3 = (0.1)^2 h$$
=> $$h = 12 \times 81 \times 100$$ cm
=> $$h = \frac{972 \times 100}{100} = 972$$ metres
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