Question

diameter of copper sphere =12cm,sphere is melted and drawn into long wire of ultimate cross section ,length of wire =72,thickness to find

Answer 1

Hope dis is ur correct ansss

Answer 2

Given :

Diameter of copper sphere =12cm

Sphere is melted and drawn into long wire of ultimate cross section ,length of wire =72

To Find :

Find Thickness

Solution:

Diameter of sphere = 12 cm

Radius of sphere =$\frac{12}{2} = 6 cm$

Volume of sphere =$\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (6)^3$

Length of wire = 72 cm

Volume of sphere = Volume of wire

$\frac{4}{3} \pi r^3 = \pi r^2 h \\\frac{4}{3} (6)^3 = r^2(72)\\\sqrt{\frac{\frac{4}{3} (6)^3}{(72)}}=r\\2=r$

Diameter of wire = 2r =2(2) 4 cm

Hence The thickness of wire is 4 cm