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9 October, 00:46

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units. An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176 pi cubic units. What is x, the height of the cylinder? 21 units 24 units 25 units 28 units

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  1. 9 October, 03:59
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    B) 24
  2. 9 October, 04:41
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    Answer: The height of the cylinder is 24 units.

    Step-by-step-explanation: The volume of a cylinder is calculated as

    Volume = Pi x r^2 x h

    Where r is the radius, and h is the height. The radius shall be derived as half of the diameter, that is, half of 14 units which equals 7 units. The volume has been given as 1176 Pi cubic units. We can now substitute for the values given as follows;

    1176 Pi = Pi x 7^2 x h

    1176 Pi = Pi x 49 x h

    By cross multiplication we now have

    (1176 Pi) / 49 Pi = h

    1176/49 = h

    24 = h

    Therefore the height of the cylinder is 24 units.
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