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6 August, 17:24

Find the volume of a right circular cone that has a height of 17.5 m and a base with a circumference of 19.4 m

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  1. 6 August, 17:55
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    Answer: Volume = 174.71 cubic meters

    Step-by-step explanation:

    Hi, to answer this, first, we have to apply the formula for the circumference (C) of a circle.

    C = 2πr

    Substituting with c=19.4 in the formula, and solving for the radius (r)

    19.4 = 2πr

    19.4 / 2π = r

    r = 3.09

    Finally we apply the formula:

    Volume of a right circular cone: 1/3 π r^2 h

    Where h is the height of the cone and r is the radius of the base.

    Replacing with the values given and calculated:

    V=1/3 π (3.09) ^2 (17.5)

    V = 174.71 cubic meters
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