Question

A copper rod of diameter 2 cm and length 10 cm is drawn into a wire of
uniform thickness and length 10 m. Find the thickness of the wire.​

Answer 1

SOLUTION:-

Given:

A copper rod of diameter is 2cm & length is 10cm drawn into a wire of uniform thickness & length 10m.

To find:

The thickness of the wire.

Explanation:

•Diameter of a copper rod= 2cm

•Radius=d/2 = 2/2 = 1cm.

•Length= 10m.

The volume of the Copper:

=) πr²h

=) π× 1cm ×1cm × 10

=) 10π cm²

Therefore,

The new copper rod let the radius of this rod is R cm.

10m of the length we can convert in cm.

=) (10 × 100)cm

=) 1000cm

$= > \pi {R}^{2} \times 1000 = 10\pi \\ \\ = > {R}^{2} \times 1000 = 10 \\ \\ = > {R}^{2} = \frac{10}{1000} \\ \\ = > {R}^{2} = \frac{1}{100} \\ \\ = > R = \sqrt{ \frac{1}{100} } \\ \\ = > R = \frac{1}{10} \\ \\ = > R = 0.1cm$

Therefore,

New radius of rod is 0.1cm = 1mm.

Hence,

The thickness of new rod =) 1×2mm

=) 2mm.

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