Question

2 Ten identical lengths of wire are laid closely side-by-

side. Their combined width is measured and found
to be 14.2 mm. Calculate:
a the radius of a single wire
b the volume in mm' of a single wire if its length is
10.0 cm. (Volume of a cylinder = ferih, where r =
radius and h = height.

Answer 1

(a) 0.71 mm

(b) 0.158 cubic cm

Step-by-step explanation:

The width of one wire is the diameter of the wire.

(a) Let the diameter of each wire is d.

So, 10 d = 14.2 mm

d = 1.42 mm

radius of each wire, r = d/2 = 1.42/2 = 0.71 mm

(b) Length, L = 10 cm

The volume of the single wire is given by

`V =\pi* r^2* h \\\\V =3.14* 0.071^2* 10\\\\V =0.158 cm^3`