Question

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

Answer 1

v=66 cm³
r= 1/2 mm=.05 cm
wire is a cylinder
v= πr²h
66= 22/7*0.05²*h
66*7=22*0.05*0.05*h
   462   =0.55*h
h=462/0.55=840
h= 8.4 m

Answer 2

Answer:

84 m

Step-by-step explanation:

Volume of silver = 66 cubic cm

Diameter of wire = 1mm = 0.1 cm

Radius of wire = $\frac{0.1}{2}=0.05 cm$

Since wire is in the shape of cylinder

So, volume of wire = $\pi r^2 h$

                               = $\frac{22}{7} (0.05)^2 h$

Since silver is drawn into wire so volume of silver is equal to the volume of wire .

So, $\frac{22}{7} (0.05)^2 h= 66$

$(0.05)^2 h= 21$

$h= \frac{21}{0.0025}$

$h= 8400$

Length of wire = 8400 cm =84 m

Hence the length of wire is 84 m .