the diameter of sphere is 42cm it is melted and drawn into cylindrical wire of 28cm diameter find the length of wire
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Volume of sphere = Volume of cylindrical wire.
=)Let length of wire be 'h'.
\frac{4}{3} \pi {r}^{3} = \pi {r}^{2} h
=)
h = \frac{4\pi {r}^{3} }{3\pi {r}^{2} }
Radius of sphere =21 cm
Radius of wire =1.4 cm
h = \frac{4 \times 21 \times 21 \times 21 \times 10 \times 10}{3 \times 14 \times 14}
h = 63 \times 10 \times 10
h = 6300 {cm}
or \: h = 63 \: m
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