Question

$\huge{20 pts}$
Simple question for mathematician

Answer 1

Answer:

1256 cm

Step-by-step explanation:

Given, Diameter of copper wire = 3 mm = 0. 3 cm.

Given, length of cylinder = 1.2 m = 12 cm

Given,diameter = 10 cm. Then, radius = 5 cm.

∴ curved surface area of the cylinder:

= 2πrh

= 2 * π * 5 * 12

= 120π

∴ Length of the wire used:

= Area/Width

= 120π/0.3

= 400π

= 1256 cm.

Therefore,Length of the wire used = 1256 cm.

Hope it helps!

Answer 2

Number of rounds = Height of the cylinder/diameter of the wire

= 12/0.3

= 40 rounds

Now,

The length of the wire required in one round = Circumference of the base of the cylinder

Diameter of the cylinder = 10 cm, so the radius = 5 cm.

circumference = 2πr

= 2*π*5

Length of wire required in one round = 10π

Length of wire required in 40 rounds = 10π*40

= 400*22/7

= 8800/7

Length of the wire = 1257.14 cm