Question

15. A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 11 cm. It is
drawn out into a wire of diameter 1 mm. What will be the length of the wire so oblandu​

Answer 1

Answer:

The length of the wire will be 1099.95 cm.

Step-by-step explanation:

The piece of cylindrical ductile metal is of diameter 1 cm and length 11 cm.

So, the volume of the piece of ductile metal is = πr²l = $\frac{22 \times 1^{2} \times 11 }{7} = 34.57$ cm³

Now, the cylindrical piece is drawn out into a wire of diameter 1 mm i.e. 0.1 cm.

If the length of the wire is x cm, then volume of the wire is πr²x = $\frac{22 \times (0.1)^{2} x }{7} = 0.0314 x$ cm³

Now, 0.0314x = 34.57

⇒ x = 1099.95 cm

Therefore, the length of the wire will be 1099.95 cm. (Answer)