Question: As a rule, the tubes will have curved upper surfaces, so there will be no simple formulasfor their volumes. However, if the strips are thin,

 As a rule, the tubes will have curved upper surfaces, so

As a rule, the tubes will have curved upper surfaces, so there will be no simple formulasfor their volumes. However, if the strips are thin, then we can approximate each strip by arectangle . These rectangles, when revolved about they-axis, will producecylindrical shells whose volumes closely approximate the volumes of the tubes generatedby the original .We will show that by adding the volumes of thecylindrical shells we can obtain a Riemann sum that approximates the volumeV, and bytaking the limit of the Riemann sums we can obtain an integral for the exact volume V. Approximately how long is the portion of a cable that lies between the support tow-ers on one side of the roadway?. Round your answer to the nearest foot

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