The radius of a metallic sphere is 60 mm .It is melted and recast in to wire of diameter 0.8 mm .Find the length of the wire.

Answer

502.07 `cm^(2)`

Explanation

Radius of sphere =60 mm=6cm
Volume of spherre=`(4)/(3)pi(6)^(3)=288pi cm^(3)`
Let, length o fwire =l cm
Radius of wire r = `(0.8)/(2)mm 0.4 mm=(0.4)/(10) cm=(4)/(100)cm`
Volume of wire =`pir^(2)l=pi((4)/(100))^(2).l`
Now volume of wire =volume of sphere
`pixx(4)/(100)xx(4)/(100)xxl=288pi`
`l=(288xx100xx100)/(4xx4)=180000 cm =1800 m`