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Math Help - Suface Area of Sphere and volum

  1. #1
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    Suface Area of Sphere and volum

    Can you Explain to me this question :

    The volume, V, and surface area, S of a sphere with radius r are given by the formulas



    Find the surface area of a sphere that has a volume = 321 cm3. (To 2 decimal places)


    Find the volume of the sphere that has surface area = 400 cm2 .To 2 decimal places)
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  2. #2
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    Hello,
    Quote Originally Posted by Diligent_Learner View Post
    Can you Explain to me this question :

    The volume, V, and surface area, S of a sphere with radius r are given by the formulas



    Find the surface area of a sphere that has a volume = 321 cm3. (To 2 decimal places)


    Find the volume of the sphere that has surface area = 400 cm2 .To 2 decimal places)
    For the first one :
    You have V=\frac 43 \pi r^3=321
    And you want S=4 \pi r^2
    From the volume formula, you have :
    r^3=\frac{321 \cdot 3}{4 \pi}
    Hence r=\sqrt[3]{\frac{321 \cdot 3}{4 \pi}}

    And substitute in the formula for S.

    It's the exact same reasoning for the second one.
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  3. #3
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    Thank you very much for cooperation..

    I solve the question and I obtain the following results:

    S=226.98

    V=179.41
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