Mathematics

Question

find the radius of the oblique cylinder (PLEASE HELP EXTRA POINTS)
find the radius of the oblique cylinder (PLEASE HELP EXTRA POINTS)

1 Answer

  • Answer:

    The radius of the oblique cylinder is 4 cm.

    Step-by-step explanation:

    Given:

    The volume of the oblique cylinder = [tex]192 \pi cm^3[/tex]

    Height of the cylinder = 12 cm

    To Find:

    Radius of the oblique cylinder = ?

    Solution:

    we know that the volume of the oblique cylinder  

    =>[tex]\text{base area of the cylinder} \times \text{height of the cylinder}[/tex]------------------------------(1)

    where base area of the cylinder is the area of the circle

    so area of the circle = base area

    [tex]\pi r^2[/tex] = base area---------------(2)

    Substituting (2) in (1)

    [tex]192 \pi = \pi r^2 \times height[/tex]

    [tex]192 \pi = \pi \times r^2 \times height[/tex]

    [tex]192 \pi = \pi \times r^2 \times 12[/tex]

    [tex]\frac{192 \pi}{ \pi \times 12}= r^2[/tex]

    [tex]\frac{192}{12}= r^2[/tex]

    [tex]16= r^2[/tex]

    [tex] r^2 =16[/tex]

    [tex] r =\sqrt{16}[/tex]

    r=4

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