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24 March, 01:17

Find the volume for the cylinder with the given measurement. r = 2, h = 3

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  1. 24 March, 03:04
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    The volume of any prism is equal to the cross-sectional area multiplied by the height. Since a cylinder is effectively a circular-prism, with the cross-sectional area equal to the area of a circle (πr²), the formula for the volume can be derived:

    Volume = cross-sectional area * height

    Volume = πr² * height

    V = πr²h

    Now the figures just need to be substituted into the formula to calculate the volume:

    V = π * (2) ² * 3

    = π * 4 * 3

    = 12π

    = 37.6991118431

    ≈ 37.7 units³ (3sf)
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