Question

A copper wire having 0.20 cm as the radius of its circular section is one-meter long. It is melted, and spherical balls of radius 0.20 cm are made. Identify the number of balls that can be made?

Answer 1

1ball can be made because formula is radius of foil divided by radius of sphere..

Answer 2

Answer:

375

Step-by-step explanation:

Given :

Radius of wire = 0.20 cm

Length of wire = 1 m

Radius of spherical ball = 0.20 cm

To Find: Identify the number of balls that can be made?

Solution:

Since wire is in the form of cylinder .

So, Radius of cylinder  = 0.20 cm

Height of cylinder = 1 m = 100 cm

So, volume of cylinder = $\pi r^{2} h$

                                      = $3.14 \times 0.20^{2}\times 100$

                                      = $12.56 cm^3$

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

Radius of sphere = 0.20 cm

Volume of sphere = $\frac{4}{3}\times 3.14 \times 0.20^{3}$

                               = $0.03349 cm^3$

So, number of balls made = $\frac{\text{volume of cylinder}}{\text{Volume of sphere}}$

                                           = $\frac{12.56}{0.03349}$

                                           = $375.03$

Hence the number of balls can be made are 375.