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3 March, 21:38

A snow globe consist of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches. What is the volume of the snow globe rounded to the nearest cubic inch?

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  1. 3 March, 21:55
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    The volume of the snow globe is 78 cubic inches.

    Step-by-step explanation:

    Given:

    A snow globe consists of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches.

    Now, to get the volume of the snow globe.

    So, we get the volume of pedestal which is in the shape of cube by putting formula:

    Edge = 4 inches.

    Volume = (edge) ^3

    Volume = 4^3

    Volume = 64 cubic inches

    Volume of pedestal = 64 cubic inches.

    Now, to get the volume of sphere by putting formula:

    Diameter = 3 inches.

    Radius (r) = diamater/2 = 3/2 inches

    Volume = 4/3πr^3

    Volume = 4/3 * 3.14 * (3/2) ^3

    Volume = 12.56/3 * 3.375

    Volume of sphere = 14.131 cubic inches.

    Now, to get the volume of snow globe by adding both the volumes, the volume of sphere and the volume of pedestal:

    64 + 14.131

    = 78.131 cubic inches.

    Rounding to the nearest cubic inch = 78 cubic inches.

    Therefore, the volume of the snow globe is 78 cubic inches.
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