The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire. [2Marks]
Open in App
Solution
Let the radius of sphere be r cm
Let radius and length of wire be R and h respectively AccordingtoquestionVolumeofsphere=Volumeofwire⇒43πr3=πR2h[1Mark]⇒43×(3)3=0.1×0.1×h⇒h=4×(3)20.1×0.1⇒h=3600cm=36m ∴ Length of wire = 36 m [2Marks]