Question

1. What is the length of the uniform wire
of diameter 0.4 cm that can be drawn
from a solid sphere of radius 9 cm?​

Answer 1

Answer:

Length of the wire =8100 cm

Step-by-step explanation:

Diameter of the uniform wire (d) = 0.4 cm

$Radius \:of \:the \:wire(r)\\=\frac{d}{2}\\=\frac{0.4}{2}\\=0.2\:cm$

Let the length of the wire =h cm

Radius of the solid sphere (R)=9cm

/* According to the problem given,

Volume of the wire = Volume of the sphere

$\pi r^{2}h =\frac{4}{3} \pi R^{3}$

$\implies r^{2}h = \frac{4}{3} R^{3}$

$\implies (0.2)^{2} h = \frac{4}{3} \times 9^{3}$

$\implies h = \frac{4\times 9\times 9\times 9}{3\times 0.2\times 0.2}$

$\implies h = 8100\cm$

Therefore,

Length of the wire =8100 cm

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Answer 2

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