# 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

the volume of a sphere

• Anonymous

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

• 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).

• kevin!
Lv 5

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

^_^

• 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

• staton
Lv 4
4 years ago

Pi Cubed

• 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

• 1 decade ago
• Lisa
Lv 4
4 years ago

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