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5 September, 08:15

Find the volume of a right circular cone that has a height of 2.3 in and a base with a diameter of 3.6 in. Round your answer to the nearest tenth of a cubic inch.

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  1. 5 September, 10:44
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    V = 7.81 cubic inches

    Step-by-step explanation

    The formula for right circular cone is

    V = πr^2 h/3

    V = volume of the cone

    π - pie

    r = radius of the cone

    h = height of the cone

    We are provided with

    h = 2.3in

    d = 3.6in

    π = 22/7

    First, we calculate the radius

    d = 2r

    r = d/2

    r = 3.6/2

    r = 1.8

    Then we can use the formula

    V = πr^2h/3

    V = 22/7 * 1.8^2 * 2.3/3

    V = 3.142 * 3.27 * 0.767

    V = 7.80812136 cubic inches

    According to the question, we are asked to round off to nearest tenth cubic inches

    V = 7.81 cubic inches
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