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math: advanced geometry

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if the surface area of a sphere equals the surface area of a cube, what is the ratio of the volume of the sphere to the volume of the cube?

  • math: advanced geometry -

    4π*r^2 = 6s^2

    r^2/s^2 = 6/4π = 3/2π

    r/s = √(3/2π)

    4π/3 r^3 / s^3 = 4π/3 (r/s)^3 = 4π/3 √(3/2π)^3 = 2√(3/2π)

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