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geometry

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A ball of diameter 20 cm fits exactly inside a cylindrical container.
The maximum volume of liquid which can be poured into the cylindrical container when empty is ________ cm3.

[π=3.14]

  • geometry - ,

    you know the cylinder also has a diameter of 20 cm.

    It also has a height of 20 cm, so the sphere just fits.

    v = pi r^2 h = pi (2/2)^2 (20) = 2000pi

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