2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.50 cm in diameter. Find the length of the wire.

Options

A. 110 m
B. 112 m
C. 98 m
D. 124 m

Answer

B

Explanation

Volume of the wire `= (2.2 xx 10 xx 10 xx 10) cm^(3) = 2200 cm^(3)`
Radius of the wire `= 0.25 cm = (25)/(100) cm = (1)/(4) cm`
Let the length of wire be h cm. Then,
`pi xx (1)/(4) xx (1)/(4) xx h = 2200 rArr (22)/(7) xx (1)/(16) xx h = 2200`
`:. h = (2200 xx (7)/(22) xx 16) cm = ((11200)/(100)) m = 112 m`