Question

a copper wire of diameter 6mm is evenly wrapped on a cylinder of length 15cm and diameter 49cm to cover its whole surface . find the length and volume of the wire. if the specific gravity of copper be 9kg per cu cm , find the weight of the wire.

Answer 1

It might be the solution of your question .

Answer 2

Answer:

Weight of wire is 980.1 gm.

Step-by-step explanation:

Diameter of wire = 6 mm = 0.6 cm

Radius of wire = $\frac{Diameter}{2}$=$\frac{0.6}{2}=0.3 cm$

Height of cylinder = 15 cm

Diameter of cylinder = 49 cm

Radius of cylinder = $\frac{Diameter}{2}$=$\frac{49}{2}$

No. of rotations of wire on cylinder = $\frac{\text{Height of cylinder}}{\text{Diameter of wire}}$

                                                         = $\frac{15}{0.6}$

                                                         = $25$

Circumference of cylinder =$2 \pi r= 2 \times \frac{22}{7} \times \frac{49}{2}$

                                            =$154cm$

So, length of wire = $154 \times 25=3850 cm$

Volume of wire =$\pi r^2 h= \frac{22}{7} \times 0.3^2 \times 3850 = 108.9 cm^3$

Weight of wire = $Volume \times Density = 108.9 \times 9 = 980.1 gm$

Thus the weight of wire is 980.1 gm.