Question

The diameter of a metallic sphere is 6 cm . The sphere is metaled and drawn into long wire of uniform circular cross-section . If the length of wire is 36cm find its radius

Answer 1

Answer:

d = 6cm

r = 6/2 = 3cm

length of wire = 36cm

radius of wire = ?

volume of metallic sphere = volume of wire

4/3 × π × r^3 = π × r^2 × h

4/3 ×22/7 × 3 × 3 × 3 = 22/7 × r^2 × 36

4 × 3 × 3 = r^2 × 36

4 × 3 × 3 /36 = r^2

1 = r^2

√1 = r

1cm = radius of wire

Answer 2

Question⤵️

The diameter of a metallic sphere is 6 cm . The sphere is melted and drawn into long wire of uniform circular cross-section . If the length of wire is 36cm find its radius

Answer⤵️

$diameter\:of\:metallic\: sphere=6cm\\=>radius \: (r) = \frac{6}{2} = 3 \\and \: volume = \frac{4}{3}\ \pi {r}^{2} \\ =>\frac{4}{3}\times\frac{22}{7}\times 3\times 3\times 3\:{cm}^{3}=\frac{792}{7}{cm}^{3} \\ length \: of \: wire \: (h) = 36cm \\ let \: r \: be \: the \: radius \: of \: circular \: wire \: then = \\ \pi{r}^{2}h = \frac{792}{7} \\ = > \frac{22}{7} {r}^{2} \times 36 = \frac{792}{7} \\ = > {r}^{2} = \frac{792 \times 7}{7 \times 22 \times 36} \\ = > {r}^{2} = 1 = ( {1})^{2} \\ = > \: (radius) r = 1cm$

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