2.2 cubic decimeter of metal is to be drawn into a cylindrical wire of diameter 0.05 cm.Find the length of wire.

Let the length of the wire be h cm.

Volume of metal = 2.2 dm3 = 2.2 × (10 cm)3 = 2.2 × 100 cm3 = 2200 cm3    ( 1 dm = 10 cm)

Let r be the radius of the cylinder.

Given, 2r = 0.05 cm

Volume of metal in the wire = 2200 cm3

πr2h = 2200 cm3

Thus, the length of wire is 112000 dm.

  • 5

here, 2.2 cubic dm=2200 cubic cm

2200=22/7 * 0.05/2 * 0.05/2 * h

h=2200 * 200 * 200 *7 / 22 * 5 * 5 (after removing the decimal)

on calculating, h=112000 cm

or 112 dm

i hope it is correct....

(i'm sorry if it is wrong)!!!!

  • 6

sorry.........here the h=1120000 cm, or 1120 dm

  • 2
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