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CBSE Class 9 Answered

The difference between the outer lateral surface area and inner lateral surface area of a cylindrical metallic pipe 28 cm long is 176 cm2. Find the outer and inner radii of the pipe, if the pipe is made of 352 cm3 of metal.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Let R cm and r cm be the external and internal radii of the metallic pipe.

h = length of the pipe = 28 cm

Now,

Outside surface area - inner surface area = 176 cm2

It is given that volume of metal used = 352 cm3

Therefore,amount of material in the pipe=

External volume - internal volume = 352 cm3

Solving (i) and (ii),

R = 2.5 cm = Outer radius

r = 1.5 cm = Inner radius.

Answered by | 04 Jun, 2014, 03:23: PM

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