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11 August, 07:52

A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approximate the volume of the mountain in

cubic kilometers.

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  1. 11 August, 10:58
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    Answer: The volume of the mountain is 158.3 cubic kilometers.

    Step-by-step explanation:

    Hi, to answer this question we have to apply the next formula:

    Volume of a cone = 1/3 π x radius² x height

    Replacing with the values given:

    V = 1/3 π (6) ² 4.2

    Solving for V (volume)

    V = 1/3 π (36) 4.2 = 158.3 km³

    The volume of the mountain is 158.3 cubic kilometers.

    Feel free to ask for more if needed or if you did not understand something.
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