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A oblique cylinder has a radius of 16 m and a volume of 5120 cubic meters. Use Cavalieri’s Principle to solve for the height of the solid?

Science & Mathematics by Anonymous 2018-06-18 13:32:58

Social Science

A oblique cylinder has a radius of 16 m and a volume of 5120 cubic meters. Use Cavalieri’s Principle to solve for the height of the solid?

3 answers

  • Anonymous

    Height is 5120/256pi = 6.37 m rounded to two decimal places

  • Anonymous

    Cavalieri’s principle says that the volume of an oblique cylinder is the same as that of a right cylinder with the same base and height. Area of base = pi r^2. Volume = (pi) r^2 h. 5120 = (pi) r^2 h h = 5120/(256 pi) = 20/(pi) ~ 6.366 m

  • Anonymous

    As skewing a cylinder does not change the area of each cross section parallel to the base, the volume of the oblique cylinder is the same as the volume of a non-skewed cylinder with the same height. V = πr²h h = V/(πr²) = 5120/(16²π) = 20/π ≈ 6.37 m

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