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2 September, 00:21

The volume, V, of a soap bubble is related to its surface area, A. In cubic centimeters, this relationship is shown by the formula V = 0.094A 3/2. What is the surface area of a bubble with a volume of 5 cm3?

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  1. 2 September, 00:47
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    First let's rewrite the volume expression correctly:

    V = 0.094 * (A) ^ (3/2)

    Now we clear the area:

    (A) ^ (3/2) = V / 0.094

    A = (V / 0.094) ^ (2/3)

    We now replace the volume:

    A = (5 / 0.094) ^ (2/3)

    A = 14.14364782 cm ^ 2

    Answer:

    The surface area of a bubble with a volume of 5 cm3 is:

    A = 14.14364782 cm ^ 2
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