Question

A copper sphere having radius 6cm is melted and then drawn into a cylinderical wire of radius 2mm . calculate the length of the wire.

Answer 1

volume of sphere = no. of wire in cylinder
4/3π(6/2)=πr^ *.2
4/3*3*3*3=r^*.2
r^=4*3*3/.22
r= 18 mm

Answer 2

Dear Student,

● Answer -

Length of wire = 7.2 m

◆ Explanation -

Given that copper sphere is melted into cylindrical wire.

Volume of sphere = Volume of cylinder

4/3 πR^3 = πr^2.h

4 R^3 = 3 r^2.h

Substitute values,

4 × 6^3 = 3 × 0.2^2 × h

4 × 216 = 3 × 0.04 × h

864 = 0.12 × h

h = 864 / 0.12

h = 7200 cm

h = 7.2 m

Hence, length of wire is 7.2 m.

Thanks dear. Hope this helps you...