Question

State true or false:

Find the length of 11 kg copper wire of diameter 0.4 cm. Given one cubic cm of copper weights 8.4 gram.

Answer: 10294 cm

• A. True
• B. False

Answer 1

The correct option is A True

The
wire is in the shape of a cylinder.
Since one cubic cm of copper measures $8.4$ gm, the volume of copper in the wire of $11kg=\frac{11000g}{8.4g}{cm}^3$
Since diameter of the wire $=0.4cm$
$=>radius=0.2cm$
Volume
of a Cylinder of Radius "R" and height "h" $=\pi R^{2}h$
Considering height as length of the wire, we get
$\frac{22}{7}\times {0.2}^2\times length=\frac{11000}{8.4}$
$=>length=10294cm$