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    Surface area and volume

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    Solve the following word problem, you will need to know that a cylinder of radius r and height h has volume V = Pi r^2 h. Also, a circle of radius r has area A = Pi r^2 and circumference C = 2 Pi r.

    A closed cylindrical can has a radius t and height h.
    a) If the surface area S of the can is a constant, express the volume V of the can in terms of S and r.
    b) If the volume V of the can is a constant, express the surface area S in terms of V and r.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:02 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/surface-area-any-volume-25136

    Solution Preview

    a) We know that the surface area S of a cylinder is:
    S= 2*Pi*r^2+ 2*Pi*r*h ...

    Solution Summary

    This looks at the relationship between surface area and volume for a cylindrical can.

    $2.49

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