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Hello, what does 4/3 pi r cubed stand for ? I saw it in a maths book once & still can't find the answer..help!

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  • Anonymous
    1 decade ago
    Favorite Answer

    the volume of a sphere

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  • Anonymous
    1 decade ago

    You need not worry that much, it is simply the volume of a sphere 4/3 pi r cubed. In three-dimensional Euclidean geometry, a sphere is the set of points in R3 which are at distance r from a fixed point of that space, where r is a positive real number called the radius of the sphere. The fixed point is called the center or centre, and is not part of the sphere itself. The special case of r = 1 is called a unit sphere.

    The surface area of a sphere of radius r is

    A = 4 π r2

    and its enclosed volume is

    V = 4/3 π r3

    The sphere has the smallest surface area among all surfaces enclosing a given volume and it encloses the largest volume among all closed surfaces with a given surface area. For this reason, the sphere appears in nature: for instance bubbles and small water drops are roughly spherical, because the surface tension locally minimizes surface area.

    A sphere can also be defined as the surface formed by rotating a circle about its diameter. If the circle is replaced by an ellipse, the shape becomes a spheroid

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  • 1 decade ago

    The expression in the question gives the volume of a Sphere.

    In general the Volume(V) of a sphere having a radius r is given by:

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

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  • kevin!
    Lv 5
    1 decade ago

    4/3 times pi times the radius cubed stands for the volume of a sphere.

    ^_^

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  • 1 decade ago

    It is the formula to figure the volume of a sphere.

    4/3 x pi x r cubed

    pi = 3.1614

    r = the radius of the sphere

    cubed means to multiply the radius by itself 3 times: r*r*r = r cubed.

    Exampled: What is the volume of a sphere with a radius of 3 inches?

    The radius = 3 inches, so r cubed = 3 x 3 x 3 = 9

    so, 4/3 x 3.1416 x 9 = 37.7 cubic inches. Got it?

  • 3 years ago

    V 4 3 Pi R3

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  • staton
    Lv 4
    4 years ago

    Pi Cubed

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  • 1 decade ago

    It is definitely the expression for volume of a Sphere.

    Where,

    pi= 3.1416......

    =area of a circle having unit radius.

    r = radius of the sphere.

    Say for example, let's consider a problem.

    A snooker ball has a radius(r) of 4cm.What is the volume?

    Solution:

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

    =(4/3)π(r^3)

    =(4/3)x 3.14 x(4^3)

    =(4/3)x 3.14 x(4x4x4)

    =267.9466 cm^3 or cm cubed

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  • 1 decade ago
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  • Lisa
    Lv 4
    4 years ago

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  • 1 decade ago

    Don't panic. It's just the formula for finding the volume of a sphere.

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