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 988130: 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. Please use Pi for π (rather than a decimal approximation) in your answer.
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Answer by ikleyn(52852) 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

2%2Api%2Ar%2AL

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

δV = 2%2Api%2Ar%2AL.δr.