college algebra

A propane tank has the shape of a circular cylinder with a hemisphere at each end. The cylinder is 6 feet long and volume of the tank is 5pie cubic feet. Find, to the nearest thousandth of a foot the length of the radius x.

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  1. with radius x,
    v = (pi * x^2 * h) + (4/3 * pi * x^3)
    5pi = (pi*x^2*6) + (4/3 pi * x^3)
    4/3 x^3 + 6x^2 - 5 = 0
    4x^3 + 18x^2 - 15 = 0
    x = 0.838

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