The dimensions of a solid iron cuboid are 4·4 m 2·6 m 1·0 m. It is
melted and recast into a hollow cylindrical pipe of 30 cm inner radius and
thickness 5 cm. Find the length of the pipe.
Answers
Hey there!
Length=4.4metres
Breadth=2.6metres
Height=1metre
Volume of a cuboid=l*b*h
=4.4*2.6*1
=11.44m^3
The cuboid is melted and is made into a hollow cylindrical pipe.
But,
Even if the shape changes, volume of both the shapes remains same.
Volume of cuboid=Volume of hollow cylindrical pipe=11.4m^3.
Radius=30cm=0.3metres
Thickness=5cm=0.05metres
Outer radius=inner radius+thickness
=0.3+0.05
=0.35metes
Height of the pipe=length of the pipe.
Volume of a cylindrical pipe=10(R^2-r^2)h
22/7[(0.35)^2(0.3)^2]*h
22/7[(0.35)^2(0.3)^2*h=11.4m^3
22/7[0.1225-0.09]*h=11.4m^3
22/7*0.0325=11.4m^3
h=11.4*7/22*0.0325=80.08/0.0715=112metres
•Length of the pipe=112metres
go through Google. ......