Question

The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of diameter 2.8cm then find the length of the wire​

Answer 1

Volume of sphere

`= (4)/(3) \pi \: r ^(3)`

`= (4)/(3) * (22)/(7) * {(21)}^(3)`

`= 38808 \: cm^(3)`

Volume of cylindrical wire = Volume of sphere

`\pi r^(2) h = (4)/(3) \pi \: r ^(3)`

`(22)/(7) * {(1.4)}^(2) h = 38808`

`6.16h = 38808`

`h = 6300 \: cm`

Length of wire = 6300 cm