How many cubic liters are in a cylinder with a radius of 400 milliliters and a height of 5,000 milliliters

Question

How many cubic liters are in a cylinder with a radius of 400 milliliters and a height of 5,000 milliliters

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Josie 3 months 2022-02-15T17:59:19+00:00 1 Answer 0 views 0

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    2022-02-15T18:01:07+00:00

    The volume of cylinder is 2.512 cubic liters

    Solution:

    Given that cylinder with a radius of 400 milliliters and a height of 5,000 milliliters

    We have to find the volume of cylinder in cubic liters

    The volume of cylinder is given by formula:

    [tex]V = \pi r^2h[/tex]

    Where, “r” is the radius and “h” is the height of cylinder

    From given,

    r = 400 ml

    h = 5000 ml

    Convert them into liters

    1 ml = 0.001 liter

    400 ml = 400 x 0.001 liter = 0.4 liter

    5000 ml = 5000 x 0.001 liter = 5 liter

    Substituting in formula, we get

    [tex]V = 3.14 \times 0.4^2 \times5\\\\V = 3.14 \times 0.16 \times 5\\\\V = 2.512[/tex]

    Thus volume of cylinder is 2.512 cubic liters

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