An iron pipe of internal diameter 2.8 cm and uniform thickness 1 mm is melted and a solid cylindrical rod of the same length is formed. Find the diameter of the rod.
Internal diameter =2.8cm
Radius=1.4cm
Thickness =1mm=0.1cm
External radius =1.4cm+0.1cm=1.5cm
(V1) volume of hollow pipe =pie×h×(R+r)(R-r)=(22÷7 )×h×2.9×0.1=0.9hcm^2
(V) volume of rod with same length=pie×r^2×h=(22÷7)×r^2×h
V1=V
or,0.9h=(22÷7)×r^2×h
or,0.29=r^2
:.r=0.54cm
So,diameter of rod =2r=2×0.54=1.08cm