Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a height of 20 centimeters and a circular base with a ra

Question

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a height of 20 centimeters and a circular base with a radius of 10 centimeters.

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Peyton 6 days 2021-10-14T03:05:29+00:00 2 Answers 0

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    0
    2021-10-14T03:06:51+00:00

    Answer:

    the volume of an oblique cylinder is V=2,000\pi\ cm^{3}

    0
    2021-10-14T03:07:11+00:00

    Answer:

    The exact volume of an oblique cylinder is V=2,000\pi\ cm^{3}

    Step-by-step explanation:

    we know that

    The Cavalieri’s principle states that if two or more figures have the same cross-sectional area at every level and the same height, then the figures have the same volume

    so

    The volume of the oblique cylinder is equal to

    V=\pi r^{2} h

    we have

    h=20\ cm

    r=10\ cm

    substitute

    V=\pi (10)^{2} (20)

    V=2,000\pi\ cm^{3}

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