Question

A copper rod of diameter 1cm and length 8cm is drawn into a wire of length 18 m o uniform thickness.Find the thickness of the wire.​

Answer 1

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✨$\underline \mathbb{SOLUTION}$

✨The volume of the rod =

✨$\pi \times (1 \div 2) {}^{2} \times 8cm {}^{3} = 2\pi \: cm {}^{3}$

✨$length \: of \: new \: wire \: of \: same \: volume \: = 18m \: = 1800cm$

✨$\pi \times r {}^{2} \times \times 1800 = 2\pi$

✨$r {}^{2} = 1 \div 900$

✨$r = 1 \div 30$

✨Hence,

DIAMETER OF CROSS SECTION,THE THICKNESS OF THE WIRE IS 1÷15 CM .I.E.0.67 mm.

✨ŤHÁŃKŚ✨

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Answer 2

Answer:

$\small\underline{\underline{\texttt{\orange{Thickness of wire =}}}}$$2r = \frac{1}{15} cm$

step by step instructions :-

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$r = \frac{1}{2} cm \: l = 8cm \\ length \: of \: wire \: = 18m \times 1800cm \\ r \binom{1}{2} {}^{2} \times 8 = \pi \times n {}^{2} \times 1800 \\ r {}^{2} = \frac{1}{900} = > r = \frac{1}{30}$

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