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19 February, 09:57

If a cylinder of radius 2 cm and height 4 cm is submerged in a graduated cylinder of radius 3 cm containing a liquid. By how much does the liquid rise?

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  1. 19 February, 10:24
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    Given:

    Cylinder = radius 2cm; height 4cm

    graduated cylinder = radius 3cm w / liquid

    Volume of a cylinder = π r² h = 3.14 * (2cm) ² * 4cm = 50.24 cm³

    Volume of a cylinder = Volume of the graduated cylinder

    50.24 cm³ = 3.14 * (3cm) ² * h

    50.24 cm³ = 28.26 cm² * h

    50.24 cm³ / 28.26 cm² = h

    1.78 cm = h

    The liquid rises by 1.78 cm in the graduated cylinder.
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