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2 November, 02:24

Find the volume of a right circular cone that has a height of 9 m and a base with a circumference of 19.6 m. Round your answer to the nearest tenth of a cubic meter.

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Answers (2)
  1. 2 November, 02:28
    0
    V = 91.70 cubic meters

    Step-by-step explanation:

    The volume of a right circular cone

    V = πr^2h/3

    V - volume of the cone

    π - pie

    r - radius of the cone

    h - height of the cone

    Given

    h - 9m

    Circumference = 19.6m

    Find radius

    Circumference = 2πr

    r = c/2π

    c - 19.6

    π - 3.142

    r = 19.6 / 2*3.142

    = 19.6/6.284

    = 3.119m

    Using the volume of a right circular cone

    V = πr2h/3

    V = 3.142 * 3.119^2 * 9/3

    = 3.142 * 9.728 * 3

    = 91.6976 cubic meter

    Rounding to the nearest tenth cubic meter

    V = 91.70 cubic meters
  2. 2 November, 02:52
    0
    91.7 m³

    Step-by-step explanation:

    V = 1/3 πr²h

    2πr = 19.6

    r = 19.6 / (2 x 3.14) = 3.12

    V = 1/3 x 3.14 x 3.12² x 9 = 91.7
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