SOLUTION: A pipe 11 m long and of radius r = 5 cm is to be coated by insulation material to a thickness of δr = 1 mm. Approximate the volume δV of insulation material required in m

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Question 987648: A pipe 11 m long and of radius r = 5 cm is to be coated by insulation material to a thickness of δr = 1 mm. Approximate the volume δV of insulation material required in m^3.
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Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
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First,  estimate the surface area of the tube.  Is is

pi%2Ar%5E2%2AL = 3.14%2A0.05%5E2%2A11 = 0.08635 m%5E2.

To get the volume of the required insulation material,  multiply this surface area by the thickness of  1 mm = 0.001 m.  It gives you the answer:

0.08635*0.001 = 0.0008635 m%5E3.

In cubic centimeters,  it is  0.0008635%2A10%5E6 = 863.5 cm%5E3.