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4 April, 14:50

A square pyramid and a cone have the same base area. The volume of the cone is 100cm^3, and the height of the cone is 15 cm. The height of the square pyramid is 24 cm. Find the volume of the square pyramid to the nearest whole unit.

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  1. 4 April, 15:12
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    160 cm³

    Step-by-step explanation:

    1. Calculate the base area of the cone

    The volume for the volume (V) of a cone is

    V = ⅓Ah

    dа ta:

    V = 100 cm³

    h = 15 cm

    Calculation:

    100 = ⅓ A * 15

    100 = 5A

    A = 100/5 = 20 cm²

    2. Volume of Pyramid.

    The volume for the volume (V) of a square pyramid is

    V = ⅓Ah

    dа ta:

    A = 20 cm²

    h = 24 cm

    Calculation:

    V = ⅓ * 20 * 24 = 160 cm³

    The volume of the square pyramid is 160 cm³.
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