Question

A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find the length of the wire. ​

Answer 1

Answer:

Volume of cube = Volume of wire ⇒1cm

3

=πr

2

h

⇒

7

22

×(0.05)

2

×h=(1×10)

3

mm

3

=1000mm

3

⇒h=

22×0.0025

1000×7

=12727.73mm

⇒h=

1000

127272.73

m[∵1mm=

1000

1

m]

⇒h=127.3m, ∴ Length of wire =127.3m

Answer 2

Volume of cube = Volume of wire ⇒1cm

3

=πr

2

h

⇒

7

22

×(0.05)

2

×h=(1×10)

3

mm

3

=1000mm

3

⇒h=

22×0.0025

1000×7

=12727.73mm

⇒h=

1000

127272.73

m[∵1mm=

1000

1

m]

⇒h=127.3m, ∴ Length of wire =127.3m

here is the verified answer buddy