1. A copper wire, 3 mm in diameter, is wound about a cylinder whose lepgthiT$12 cm,.audiameter 10 cm, so as to cover the curved surface of the cylinder. Find the lengtharmass of the wire, assuming the density of copper to be 8.88 g per cm

1. A copper wire, 3 mm in diameter, is wound about a cylinder whose le

1.	1. A copper wire, 3 mm in diameter, is wound about a cylinder whose lepgthiT$12 cm,.audiameter 10 cm, so as to cover the curved surface of the cylinder. Find the lengtharmass of the wire, assuming the density of copper to be 8.88 g per cm
Answer» It is assumed that one round of copper wire will cover 3 mm or 0.3 cm height of cylinder.Number of rounds = Height of the cylinder/diameter of the wire= 12/0.3= 40 roundsNow, The length of the wire required in one round = Circumference of the base of the cylinderDiameter of the cylinder = 10 cm, so the radius = 5 cm.circumference = 2πr= 2π5Length of wire required in one round = 10πLength of wire required in 40 rounds = 10π40= 40022/7= 8800/7Length of the wire = 1257.14 cmRadius of the wire = 0.3/2 = 0.15 cmVolume of wire = Area of cross section of wire× length of the wire=π*r²× 12.5722/7 × (0.15)²× 1257.14Volume of the wire = 88.898 cm³Mass = Density× Volume= 8.88× 88.898Mass = 789.41 gmAnswer.