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The volume of metallic cylindrical pipe is 748 cm^3. Its length is 14cm and its external radius is 9cm . Find its thickness .

Answers (1)

D Deependra Verma

Solution: We have ,

R= external radius of pipe = 9cm , h= length of the pipe = 14cm

V= volume of the pipe = 748 $cm^3$

Let $r$ be the internal radius in centimetres . Then ,

Volume $=748cm^3$

$Rightarrow$ $pi(R^2-r^2)h=748cm^3$

$Rightarrow$ $frac227 imes (9^2-r^2) imes14=748$

$Rightarrow$ $81-r^2=frac74844Rightarrow 81-r^2=17Rightarrow r^2=64Rightarrow r=8cm$

Hence , thickness of the pipe $= (R-r)cm = (9-8)cm =1cm$

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