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Math

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??Jack has two spheres one has radius of 12 and the other has a diameter of 12. What is the difference between two spheres?

  • Math -

    Diameter=2*Radius

    Radius=Diameter/2

    Radius of first sphere R1=12

    Radius of second sphere R2=D2/2=12/2=6

    R1/R2=12/6=2

    R1/R2=2


    Area of sphere=4*pi*R^2

    Area of first sphere A1=4*pi*12^2=
    4*pi*(2*6)^2=4*pi*4*6^2

    Area of second sphere A2=4*pi*6^2

    A1/A2=(4*pi*4*6^2)/(4*pi*6^2)=4

    A1/A2=4

    Volume of a sphere:

    V=(4/3)*pi*R^3

    Volume of first sphere:
    (4/3)*pi*12^3=
    (4/3)*pi*(2*6)^3=(4/3)*pi*8*6^3

    Volume of second sphere:
    (4/3)*pi*6^3

    V1/V2=[(4/3)*pi*8*6^3]/[(4/3)*pi*6^3]=8

    V1/V2=8

    V2/V1=8

    First sphere have 2x larger Radius, 4x larger Area and 8x larger Volume

  • Math -

    V1/V2=8

  • Math -

    Delete: V2/V1=8

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