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23 January, 00:34

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. Round your answer to the nearest tenth of a cubic meter.

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  1. 23 January, 04:03
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    174.7 cubic meters

    Step-by-step explanation:

    Formula:

    V = (1/3) * π * r^2 * h

    V = (1/3) * π * r^2 * 17.5

    From knowing the circumference: 2 * (π) * r = 19.4

    r = 19.4 / (2*π)

    V = (1/3) * π * (19.4 / (2π)) ^2 * 17.5

    V = (1/3) * (19.4) ^2 * (1 / (4π)) * 17.5

    V = (19.4^2 * 17.5 divided by (12π)

    V = 6,586.3 / (12π)

    V = 6,586.3 / 37.699111842‬

    V = 174.7070336193518 cubic meters
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