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17 March, 14:45

The volume of a solid cylinder is 1584 cubic cm and its height is 14 cm. The radius is

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Answers (2)
  1. 17 March, 14:47
    0
    Answer: 6 cm

    Step-by-step explanation:

    Hi, to answer this question we have to apply the next formula:

    Volume of a cylinder (V) : π x radius ² x height

    Replacing with the values given and solving for v (Volume)

    1584 = π x r ² x 14

    Solving for r:

    1584 / (π x 14) = r²

    36.01 = r²

    √36.01 = r

    6 cm = r

    In conclusion, the radius of the cylinder is 6 centimeters.

    Feel free to ask for more if needed or if you did not understand something.
  2. 17 March, 15:06
    0
    The radius is 6 cm

    Step-by-step explanation:

    To solve this, we will follow the steps below:

    write down the formula for finding the volume of a cylinder

    volume of a cylinder = πr²h

    from the question volume of the cylinder = 1584 cm²

    height = 14 cm

    substitute the formula and solve for r

    π is a constant and is ≈ 3.14

    1584 = 3.14*r²*14

    1584 = 43.96 r²

    divide both-side of the equation by 43.96

    36≈ r²

    take the square root of both-side

    √36 = √r²

    6 = r

    r = 6cm

    The radius is 6 cm
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