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    A hollow steel shaft 12 feet long has an outside diameter of 16in. The inside diameter is 9 inches. What is the weight of this shaft if the steel weighs 0.29 lbs per cubic inch?

    © BrainMass Inc. brainmass.com December 24, 2021, 5:13 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/inner-outer-diameter-cyclindrical-shaft-35576

    SOLUTION This solution is FREE courtesy of BrainMass!

    Let the length of the shaft be L and its outside and inside diameters are D and d respectively.

    The volume of a cylinder is given by
    pie x radius^2 x length
    = pie x (diameter/2)^2 x L
    = pie x (diameter^2)/4 x L

    Hence the volume of the steel used is given by
    volume of the outer cylinder - volume of the inner cylinder
    = [pie x (D^2)/4 x L] - [pie x (d^2)/4 x L]
    = pie x L x (D^2 - d^2)/4
    = 3.14 x (12 x12") x (256 - 81)/4 cubic inch
    = 19782 cubic inch

    Now the weight per cubic inch is 0.29 lbs, weight of the shaft is

    0.29 x 19782 = 5736.78 lbs.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:13 pm ad1c9bdddf>
    https://brainmass.com/math/geometry-and-topology/inner-outer-diameter-cyclindrical-shaft-35576

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