Question

an aluminum sphere of diameter 18 cm is drawn into a Uniform cylindrical wire of length 108 cm find the diameter of the wire

Answer 1

Solution :-

Diameter of the sphere = 18 cm 

Radius - 18/2 = 9 cm

Height of cylindrical wire = 108 cm

Radius = ?

Volume of sphere = Volume of cylindrical wire

4/3πr³ = πr²h

⇒ 4/3*22/7*9*9*9 = 22/7*r²108

⇒ 4*243 = 108r²

⇒ r² = 972/108

⇒ r² = 9

⇒ r = √9

r = 3 cm

Diameter of wire = 3*2 

= 6m

Answer,

Answer 2

According to question

Diameter of Sphere   D = 18 Cm
Radius of Sphere    R  = 9 Cm

Length of cylindrical wire  H = 108 Cm
Let radius of wire be r

Thus volume of sphere =  Volume of wire
      4/3 pi r^3 =  pi R^2 H
      4/3 81 * 9 = R^2 * 108
R^2  = 9
R =  3 Cm
Thus diameter of Wire is 6 Cm