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A pyramid is inscribed in a cube whose volume is 52(pi) cm^3. The volume of a sphere is equal to the volume of this pyramid. Find the volume of a second cube whose edge is equal to the radius of the sphere.

  • Math - ,

    V = (4pi/3)r^3 = 52picm^3.
    Divide both sides by 4pi/3:
    r^3 = 39,
    r = 3.39cm.

    V = (3.39)^3 = 39cm^3 = Volume of cube.

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