Question
A meter-long pipe is made whose internal diameter is
equal to the outer radius. How much material (cubic units) will be required to make the pipe if it holds 88/7mÂł?Solution
Let the radius of the inner cylinder be r and the radius of the outer cylinder be R. 2r = RÂ In this figure, the amount of water that will flow will be equal to the volume of the inner cylinder. 
The volume of cylinder = Ď€r2h 88/7 = 22/7 Ă—1Ă— r2 r = 2 , then R = 4 Materials used to make pipe (volume) = volume of outer cylinder - volume of the inner cylinder = Ď€R2h-Ď€r²h V = Ď€h (R2 -r2 ) V = 22/7 Ă—1Ă—(16-4) V = 22/7 Ă—1Ă—12 V = 37.7 mÂłÂ
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