Question

A copper wire 3mm in diameter is wound about a cylindrical whose length is 12 cm and

diameter 10 cm, so as to cover the curved surface of the cylinder . Find the length and mass of the

wire, assuming the density of copper to be 8.88 gram per cm³.​

Answer 1

Answer:

From the figure we can observed that 1 round of wire will cover 3 mm height of cylinder.

Number of rounds =

Diameter of wire

Height of cylinder

=

0.3

12

=40 rounds.

Length of wire required in 1 round = Circumference of base of cylinder

=2πr=2π5=10π

Length of wire in 40 rounds =40×10π

=

7

400×22

=

7

8800

=1257.14 cm

=12.57 m

Radius of wire =

2

0.3

=0.15 cm.

Volume of wire = Area of cross-section of wire x Length of wire

=π(0.15)

2

×1257.14

=88.898 cm

3

Mass = Volume x Density

=88.898×8.88

=789.41 gm

Answer 2

Check your answer please