A copper wire 3 mm in diameter is wound about a cylinder whose length is 1.2 m and diameter 10 cm so as to cover the curved surface of the cylinder. Find the length of the wire

Open in App

Solution

curved surface area of the cyclinder=2πrh=2×3.14×5×12 cm^2 =120×3.14 cm^2

width of wire=3mm=3/10 cm

area of wire =l×3/10cm ^2

l×3/10=120×3.14

l=1203.14×10/3 cm =12560 cm

Suggest Corrections

Similar questions

Q. A copper wire

3 m m

in diameter is wound about a cylinder whose length is

1.2 m

and diameter

10 c m

, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of the copper wire to be

8.88

gram per cm.

Q. 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 mass of the wire, assuming the density of copper to be 8.88 g per cm.
For copper wire: Diameter = 3 mm = 0.3 cm

Q. A copper wire,

3 m m

in diameter, is wound about a cylinder whose length is

12 c m

, and diameter

10 c m

, 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 g p e r c m^{3}

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 mass of the wire, assuming the density of copper to be 8.88 g per cm³.

Q. A copper wire,

3 m m

in diameter, is wound about a cylinder whose length is

12 c m

and diameter

10 c m

, 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 g /

{c m}^{3}

. (Use

π = 3.14

)

Join BYJU'S Learning Program

A copper wire 3 mm in diameter is wound about a cylinder whose length is 1.2 m and diameter 10 cm so as to cover the curved surface of the cylinder. Find the length of the wire

curved surface area of the cyclinder=2πrh=2×3.14×5×12 cm^2 =120×3.14 cm^2 width of wire=3mm=3/10 cm area of wire =l×3/10cm ^2 l×3/10=120×3.14 l=1203.14×10/3 cm =12560 cm

curved surface area of the cyclinder=2πrh=2×3.14×5×12 cm^2 =120×3.14 cm^2

width of wire=3mm=3/10 cm

area of wire =l×3/10cm ^2

l×3/10=120×3.14

l=1203.14×10/3 cm =12560 cm