A solid iron rectangular block of dimensions 4.4 m , 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm.Find the length of the pipe.

Explanation

Given that:
Internal radius `r=30 cm`
Thickness `w=5 cm`
External radius `R=30+5=35 cm`
Let the length of pipe be `h`.
Here,
The volume of cuboid`=` Volume of a hollow cylinder
`440xx260xx100=pi(R^2–r^2)h`
`⇒440xx260xx100=pi(35^2–30^2)h`
`⇒440xx260xx100=pi(325)h`
`⇒h=11204`
The length of the pipe `h=11204 cm=112.04 m`
Hence, the length of the pipe is `112.04m`.