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15 April, 02:45

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. ill give brainlist

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  1. 15 April, 04:30
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    Cavalieri's Principle states that for two different solid shapes, if the altitude of the shapes is equal and the cross sections these shapes yield are the same from equal distances from their bases, then the shapes have equal volume.

    Simply stated, if you cut two shapes of equal height from the same spot and they repeatedly yield the same cross section, then the shapes have equal volume. This is true in the case of a regular cylinder and an oblique cylinder. So the volume of the oblique cylinder may be calculated using πr²h, since its volume is equivalent to a normal cylinder of the same dimensions.

    Volume = π x 10² x 20

    Volume = 2000π cm³
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