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Surface Area?

If the surface area of a sphere is represented by 144pi, what is the volume in terms of pi?

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  • mizoo
    Lv 7
    2 months ago
    Favourite answer

    area  = 4 pi * r^2

    144pi = 4 pi * r^2

    r = 6 units

    volume = 4/3 * pi * r^3

    v = 4/3 * pi * 6^3

    v = 288pi units^3

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  • 2 months ago

    Let r be the radius, then

    4pi(r^2)=144pi=>

    r^2=36=>

    r=6

    The volume=

    4pi(r^3)/3=

    4pi(216)/3=

    288pi.

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  • 2 months ago

    dear goofle ... what is the formula for ____ ?

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  • 2 months ago

    Surface Area of a sphere 

    given A = 144π

    A = 4πr^2

    r^2 = A/(4π)

    r^2 = 144π/(4π)

    r = √(36)

    r = 6 units

    solving its volume

    V = 4/3πr^3

    V = 4/3π(6)^3

    V = 288π cubic unit... Answer//

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  • Ian H
    Lv 7
    2 months ago

    V = (4/3)πr^3 

    A = 4πr^2 = 144π 

    r^2 = 36 

    V = (r/3)A = 2A = 288π 

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  • alex
    Lv 7
    2 months ago

    Formula:

    Area = 4πr² 

    V = (4/3)πr³

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  • 2 months ago

    The equations for the surface area and volume of a sphere is:

    SA = 4πr² and V = (4/3)πr³

    We are given the SA to be 144π unit², so we can use that to solve for r:

    SA = 4πr²

    144π = 4πr²

    Divide both sides by 4π:

    36 = r²

    6 = r

    Now that we have r, we can find the volume:

    V = (4/3)πr³

    V = (4/3)π(6)³

    V = (4/3)*216π

    V = 288π unit³

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