How many times can a three-dimensional object that has a radius of 1,000 units fit something with a radius of 10 units inside of it? How ma

Question

How many times can a three-dimensional object that has a radius of 1,000 units fit something with a radius of 10 units inside of it? How many times can something with a radius of 2,000 units fit something with a radius of 1 unit?

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Sigridomena 6 months 2021-08-31T06:34:30+00:00 1 Answers 3 views 0

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    2021-08-31T06:35:50+00:00

    Answer:

    # _units = 1000

    Explanation:

    This exercise we can use a direct proportion rule.

    If a volume of radius r = 1 is one unit, how many units can fit in a volume of radius 10?

        # _units = V₁₀ / V₁

    The volume of a body of radius 1 is

           V₁ = 4/3 π r₁³

            V₁ = 4/3π

    the volume of a body of radius r = 10

            V₁₀ = 4/3 π r₂³

            V10 = 4/3 π 10³

         

    the number of times this content is

             #_units = 4/3 π 1000 / (4/3 π 1)

            # _units = 1000

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