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12 February, 21:25

Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm. How much more water is in the larger balloon than in the smaller balloon? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

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  1. 13 February, 00:56
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    The answer is 791.28 cm³

    To calculate this we need to calculate the volume of each balloon.

    The volume of a sphere with radius r is:

    V = 4/3 π r³

    Balloon 1:

    r1 = 3 cm

    V1 = 4/3 * 3.14 * 3³

    V1 = 113.04 cm³

    Balloon 2:

    r2 = 6 cm

    V2 = 4/3 * 3.14 * 6³

    V2 = 904.32 cm³

    How much more water is in the larger balloon than in the smaller balloon:

    V2 - V1 = 904.32 cm ³ - 113.04 cm³ = 791.28 cm³
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