Question

diameter of a sphere is 42 cm. it is melted and is drawn into cylindrical wire of 28 cm diameter. find the length of wire.

Answer 1

Answer:

Given

diameterofasphere=42cm

radius= 42/2 =21cm

Now,

Volumeofsphere= 3/4 πr 3= 3/4 *7/ 22 ×21×21×21

=4×22×21×21

=3,8808cm 3

Volumeofsphere=volumeofcylinder

38,808=πr 2 h

⇒38808= 7/22 ×14×14×h= 11696

h=63

Hence,lengthofwireis63cm.