Question

rhe the diameter of metallic sphere is 6 cm . It is melted and drawn into a wire having diameter of the cross section as 0.2and find the length of wire​

Answer 1

Question⤵️

The diameter of metallic sphere is 6 cm . It is melted and drawn into a wire having diameter of the cross section as 0.2 and find the length of wire.

Answer⤵️

In sphere,

Diameter (D) => 6cm

Radius (R) => 3cm

In wire,

Diameter (D) => 0.2m = 0.2×100 = 20cm

=> as (1m = 100cm)

Radius (R) => 10cm

Volume of sphere = Volume of cylinder

$\frac{4}{3}\pi{r}^{3} = \pi {r}^{2}h \\ \frac{4}{3}\times\pi\times3\times 3\times3=\pi\times10\times10\times \: h \\ 4 \times 3 \times 3 = 10 \times 10 \times h \\ \frac{36}{100} = h \\ 0.36cm = h \\ h = 0.36 \times 100m \\ h = 36m \\ thus \: length \: of \: wire \: is \: 36m$

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