Volume of the sphere =(4∕3)πr3 Volume of the cylinder =πr21 Volume of sphere = volume of the cylinder ⇒(4∕3)πR3=πr21 Since, R=D∕2&1m=100cm ⇒(4∕3)×(3∕2)3=r2×(1∕2)×100 ⇒(4∕3)×(27∕8)=50r2 ⇒4.5=50r2 ⇒r2=50∕4.5 ⇒r2=0.09 ⇒r=0.3cm The diameter of the wire ⇒2r=(2×0.3)cm=0.6cm