Question

the diameter of a sphere is 42cm . it is melted and drawn into a cylindrical wire of diameter 2.8cm. find the length of the wire?
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Answer 1

if we take both of volume is equal from formula then the length of cylindrical wire is to be 6300 cm

Answer 2

Hęřę įš ùř ąńšwęř....♥♡♥

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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