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8 November, 01:52

A cone with radius 4 feet is shown. It's approximate volume is 165 cubic feet.

Enter the height of the cone, in feet. Round your answer to the nearest hundredth

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Answers (2)
  1. 8 November, 02:08
    0
    Answer: h = 9.85 ft

    Explanation:

    The volume of a cone = 1/3 π r² h

    165 = 1/3 π (4) ² h

    165 = (16/3 π) h

    h = 165 : (16/3 π)

    h = 9.85 ft
  2. 8 November, 02:18
    0
    3 * Cone Volume = [PI * radius^2 * height] / 3

    height = 3 * Cone Volume / [PI * radius^2]

    height = 3 * 165 / [PI * radius^2]

    height = 495 / 50.2654824574

    height = 9.8477121038 which rounds to

    height = 9.85
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