Question

A copper wire 3 mm in diameter is wound about a cylinder whose length is 12 cm and diameter 10 cm so as to cover the curved surface of the cylinder.find the length and the mass of the wire assuming that the density of copper to be 8.88 per cubic meter.

Answer 1

$\bold{\huge{\underline{Question-}}}$

A copper wire 3 mm in diameter is wound about a cylinder whose length is 12 cm and diameter 10 cm so as to cover the curved surface of the cylinder.find the length and the mass of the wire assuming that the density of copper to be 8.88 per cubic meter.

$\bold{\huge{\underline{Answer-}}}$According to the question we know that A wire of 3 mm diameter copper is wrapped in a 12 cm long and 10 cm diameter belt on it so that it covers the cylinder curve page completely.

Now,

Diameter = 10 cm

therefore radius = 10/2 = 5

total wrapped number of rounds = the height of the cylinder / wire diameter

Circular of cylinder base = 2πr

=> 2π × 5 = 10π

So the length of the wire in wrapping once = 10π

Now,

the total length of the wire in wrapping wire 40 times = 40 × 10π

=> (400 × 22) / 7

=> 8800/7

=> 1257.14

=> $\boxed{12.57}$

Radius of wire = 0.15

so,

Volume of wire = Area of ​​cross section of wire × Length

=> π (0.15) ² × 1257.14
88.898cm³

=> $\bold{Mass\:=\:volume\:×\:density}$

=> 88.898 × ​​8.88

=> $\boxed{789.41gm}$

Answer 2

Answer:

Check your answer please