Question

The radius of metallic sphere is 9 cm . it was melted to make a wire of diameter 4mm. find the length of the wire

Answer 1

HERE IS YOURS SOLUTION;

◆ Let R = radius of the sphere;

◆ Now, R = 9 cm;

Volume of sphere, V1 = 43πR3 = 43π(9)3 = 972π cm3.

◆ Now, diameter of the wire  = 2 mm = 0.2 cm       [as 1 cm = 10 mm]

radius of the wire, r = 0.1 cm

◆ Let h = length of the wire

volume of cylinderical wire, V2 = πr2h = (0.1)2πh cm3

◆ Since the sphere is melted and recast into wire, so in this case volume of the material remains same.

So, V2 = V1

⇒(0.1)2πh = 972π

⇒0.01 h = 972

⇒h = 97200 cm

⇒h = 972 m. [ 1 M = 100 Cm]

◆ So, the length of the wire is 972 M ◆

HOPE IT HELPS

Answer 2

Answer:

Step-by-step explanation: