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18 March, 00:21

An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri's Principle to calculate the height of the solid.

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  1. 18 March, 00:27
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    Cavalieri's Principle states that the volume of an oblique cylinder is equal to the product of the area of the base and the height. Mathematically, this can be expressed as,

    volume = Bh

    V = (πD²/4) h

    where D is diameter and h is the height. Substituting the known values from the given above,

    486 cm³ = ((π) (9 cm) ²/4) x h

    The value of h from the generated equation is equal to 7.64 cm. Thus, the height of the oblique cylinder is approximately 7.64 cm.
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