Question

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

Answer 1

Answer:

Step-by-step explanation:

In sphere ,

Diameter 1=6cm

Thus , Radius =3cm

In Wire ( Cylinder)

Daimeter 2 =0.2m =0.2×100cm= 20cm

Radius 2=10cm

Volume of sphere=Volume of Cylinder

4/3πr³ = πr²h

4/3×π×3×3×3 = π×10×10×h

4×3×3 = 10×10×h

36/100 = h

0.36cm = h

h= 0.36× 100m

h=36m

Thus, The length of wire is 36m.

Answer 2

Answer:

The length of wire is 3600 cm.

Step-by-step explanation:

As per the data given in the question,

We have,

Diameter of the sphere is 6cm.

∴ radius = 3cm

So, its volume = $\frac{4}{3}\pi r^{3}$

volume = $\frac{4}{3}\pi 3^{3}=36\pix\: cm^{3}$

Now, it is drawn into wire with cross section diameter = 0.2 cm

So, radis = 0.1 cm

As, we know volume of cylinder is $\pi r^{2} h$ where $h$ is the length of wire.

So, volume is transformed.

therefore,

$36\pi =\pi r^{2}h\\ 36\pi =\pi (0.1)^{2} h\\h=3600\:cm=36 \:m$

So, the length of wire is 3600 cm.

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