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!
- Anonymous1 decade agoFavorite Answer
the volume of a sphere
- Anonymous1 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
- K SenguptaLv 41 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).
- kevin!Lv 51 decade ago
4/3 times pi times the radius cubed stands for the volume of a sphere.
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- MaqAtakLv 41 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?
- 1 decade ago
It is definitely the expression for volume of a Sphere.
=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?
=(4/3)x 3.14 x(4^3)
=(4/3)x 3.14 x(4x4x4)
=267.9466 cm^3 or cm cubed
- Sherman81Lv 61 decade ago
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- 1 decade ago
Don't panic. It's just the formula for finding the volume of a sphere.