# The difference between the inner and outer surface of a cylendrical pipe is 88sq cm.if the height of the cylendrical pipe is 14cm and volume is 176 cube cm,find the inner and the outer radii

1
by ja3378

2015-03-02T21:15:44+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
H = 14 cm

2 π R H - 2 π r H = 88 cm²
2 π H (R - r) = 88

R - r = 88 / (2 π * 14) =  1 cm

It is not clear if the volume of the material is given OR, the external volume of the pipe is given.

case 1)
Volume of the material in the pipe is = 176 cm³
π R² H - π r² H = 176
R² - r² = 176 /(π * 14) =  4
(R+r)(R-r) = 4
R+r = 4 cm  as  R-r = 1 cm
solving these two equations,  we get  R = 2.5 cm and r = 1.5 cm
=======================
case 2)
external volume of the pipe = 176 cm³
π R² H = 176 cm³
R² = 176 / (π*14) = 4
R = 2 cm
r = 1 cm