Tina asked in Science & MathematicsGeography · 10 years ago

Radius of sphere given its volume?

A sphere has a volume of 843 in. What is this spheres radius?

Please show working out too.

5 Answers

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  • George
    Lv 7
    10 years ago
    Favorite Answer

    Answer --> 5.86 is the radius

    Here is why:

    Formula:

    Volume = 4/3 * π * r^3

    Radius = cubic root(V / π / 4/3)

    π = 3.1415926

    4/3 = 1.333333

    Solving:

    Radius^3 = 843 / π / 4/3

    Radius^3 = 201.25

    Cubic root(201.25) = 5.86

    Just check that is right:

    Volume = 4/3 * π * r^3

    Volume = 4/3 * π * 5.86

    Volume = 843

  • 4 years ago

    Supposed V(sphere) =4/3 pi r^3 = 100 4/3 pi r^3 = 100 with pi = 3 (4/3) x 3 r^3 = 100 4r^3 = 100 r^3 = 100/4(used cube root both sides) r = cube root(100/4) (answer)

  • Vivi
    Lv 4
    10 years ago

    V = 4/3(pi)r^3

    figure it out.

  • 10 years ago

    V = (4/3)(pi)r^3

    V *3/4*(22/7)=r^3

    V *3/4*7/22=r^3

    843*3/4*7/22=r^3

    5.86"= r

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  • donpat
    Lv 7
    10 years ago

    You have :

    ------------------------------

    V = [ 4/3 ] [ pi ] [ r ]^3

    r = [ ( 3 ) ( V ) / ( 4 ) ( pi ) ]^1/3

    r = [ ( 3 ) ( 843 ) / ( pi ) ( 4 ) ]^1/3 = 5.860 in. <--------------------------------

    Source(s): I rearranged equation for volume of a sphere.
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