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 88/7m³?
Let the radius of the inner cylinder be r and the radius of the outer cylinder be R. 2r = R In this figure, the amount of water that will flow will be equal to the volume of the inner cylinder. The volume of cylinder = πr2h 88/7 = 22/7 ×1× r2 r = 2 , then R = 4 Materials used to make pipe (volume) = volume of outer cylinder - volume of the inner cylinder = πR2h-πr²h V = πh (R2 -r2 ) V = 22/7 ×1×(16-4) V = 22/7 ×1×12 V = 37.7 m³
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