Question

A wire of length 22cm and 0.2 diameter is melted and recast into small balls of diameter 0.1cm.the no balls made is

Answer 1

2.0 is the answer of the question

Answer 2

Answer:

No. of small balls can be made is 1320

Step-by-step explanation:

Given : Length of wire = 22 cm

            Diameter of wire = 0.2 cm

To Find : No. of balls made by melting

Solution :

Since wire is in the form of cylinder .

Volume of cylinder = $\pi r^{2} h$

Diameter of wire = 0.2 cm

Radius of wire = Diameter / 2 = 0.2/2=0.1 cm

Volume of wire =   $\pi (0.1)^{2} *(22)$

Use π =3.14

⇒$(3.14)* (0.1)^{2} *(22)$

⇒$0.6908cm^{3}$

Small ball is of sphere shape

Diameter of small ball = 0.1 cm

Radius = diameter/2= 0.1/2=0.05

Volume of sphere = $\frac{4}{3}\pi r^{3}$

Volume of small ball =  $\frac{4}{3}*(3.14)*(0.05)^{3}$

                                  =$0.000523$

No. of balls made when wire is melted = Volume of wire/Volume of small ball

⇒$\frac{0.6908}{0.000523}$

⇒ $1320.8$

Thus No. of small balls can be made is 1320