Question

a sphere of diameter 30 centimetre is drawn into wire of diameter 4mm. what is the length of the wire that is United from the sphere

Answer 1

Heya !!

Here's your answer.. ⬇⬇
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Diameter of sphere ( d1 ) = 30cm
Radius of sphere ( r1 ) = d/2
( r1 )= 15cm

Diameter of cylindrical wire ( d2 ) = 4mm
Radius of cylindrical wire ( r2 ) = 2mm
1mm = 0.1 cm
2mm = 0.2 cm
( r2 ) = 0.2 cm

Given that a sphere of diameter 30 centimetre is drawn into wire of diameter 4mm.

Hence, volume of sphere and volume of cylindrical wire is same.

Volume of sphere = Volume of cylindrical wire.

4/3πr³ = πr²

$\frac{4}{3} \times \frac{22}{7} \times 15 \times 15 \times 15 = \frac{22}{7} \times 0.2 \times 0.2 \times h \\ \\ 4 \times 5 \times 15 \times 15 = \frac{2}{10} \times \frac{2}{10} \times h \\ \\ h = \frac{20 \times 15 \times 15 \times 10 \times 10}{2 \times 2} \\ \\ h = 112500 \: cm$

Length of wire is 112500 cm.
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Thanks :)