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7 June, 01:44

A cylinder has a radius of 5 cm and a height of 16 cm. Another cylinder is four times as tall but has the same radius. How does the volume of the second cylinder compare to that of the first?

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  1. 7 June, 02:11
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    The answer to your question is 4 times bigger.

    Step-by-step explanation:

    Data

    radius = 5 cm

    height = 16 cm

    Cylinder 2, 4 times taller the radius is the same

    Process

    1. - Calculate the volume of the first cylinder

    Volume 1 = πr²h

    -Substitution

    Volume = π (5) ² (16)

    -Simplification

    Volume = 400π cm³

    2. - Calculate the volume of the second cylinder

    height = 4 (16)

    = 64

    -Substitution

    Volume = π (5) ² (64)

    -Simplification

    Volume 2 = 1600π cm³

    3. - Find the relationship between the volume

    Volume 2 / volume 1 = 1600π / 400π

    = 4

    4. - The second cylinder is 4 times bigger than the first cylinder
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