How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?

Question

How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?

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Arya 3 months 2022-02-15T17:02:32+00:00 1 Answer 0 views 0

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  1. Arya
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    2022-02-15T17:03:35+00:00
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    Answer:

    the answer is  1/3 pie r2h

    Step-by-step explanation:

    The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.

    Also r=d/2 , where d is the diameter of the cylinder.

    Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume = π(r/2)²h

    =π(r²/4)h

    =(1/4) πr²h

    Therefore the volume becomes one-fourth of the initial volume.

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