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22 December, 06:19

The height of one metallic cylindrical rod is 6 centimeters and its radius is 3 centimeters. The height of a second metallic cylindrical rod is 18 centimeters and its radius is 3 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder

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  1. 22 December, 06:44
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    Answer: The ratio of the volume of the second cylinder to the volume of the first cylinder is 3 : 1

    Step-by-step explanation:

    The formula for determining the volume of a cylinder is expressed as

    Volume = πr²h

    Where

    r represents the radius of the cylinder.

    h represents the height of the cylinder.

    π is a constant

    Considering the metallic cylindrical rod,

    Radius = 3 cm

    Height = 6 cm

    Volume = π * 3² * 6 = 54π cm³

    Considering the second metallic cylindrical rod,

    Radius = 3 cm

    Height = 18 cm

    Volume = π * 3² * 18 = 162π cm³

    The ratio of the volume of the second cylinder to the volume of the first cylinder is

    162π/54π = 3/1
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