The difference between outside and inside surfaces of a cylindrical metallic pipe 14cm long is `44\ c m^2dot` If the pipe is made 99 cu centimetres of metal, find the outer and inner radii of the pipe.

Explanation

Let r and R be the inner and outer radius of the cylindrical metallic pipe respectively.

height of the metallic pipe, `h = 14 cm`

Difference between the C.S.A of the outer cylinder and C.S.A of the inner cylinder = `2πRh - 2πrh`

A.T.Q

`2πh( R - r) = 44`

`2xx22/7xx14(R-r)=44`

`R-r=0.5`____1

Here, pipe is made up of `99cm^3` of metal so that
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