i am student of BCA. and i enjoy with math.
2006-12-13 23:36:14 · 13 answers · asked by sanjeev kumar 1 in Science & Mathematics ➔ Mathematics
A sphere IS three-dimensional. The two-dimensional equivalent is a circle.
2006-12-13 23:38:36 · answer #1 · answered by Anonymous · 0⤊ 0⤋
It is the space enclosed in a surface defined as a distance from a point, in a 3-dimension space. Here I use x, y and z as the three axes.
If the sphere's centre is located at a point (a, b, c), and the radius is R, then the surface of the sphere is all the points (x,y,z) such that:
(x-a)^2 + (y-b)^2 + (z-c)^2 = R^2
The inside of the sphere is the collection of all points such that
(x-a)^2 + (y-b)^2 + (z-c)^2 < R^2 (< means less than).
If you apply this to a 2-dimension space, the resulting object is called a circle (the inside is called a disk).
If you apply this to higher dimensions, it is called a hypersphere.
In mathematics, we often use the word "ball", whatever the number of dimensions (even one!), to define all the points within a certain distance of a centre (same definition as a sphere). If we need to explicit the number of dimensions, we will say an n-ball for n dimensions (for example, a 5-ball for a space in 5 dimensions).
So, a sphere in 3 dimensions is also called a 3-ball.
2006-12-14 09:11:48 · answer #2 · answered by Raymond 7 · 0⤊ 0⤋
Locus of a point, equdistant from a fixed point.
general equation:
x^2 + y^2 + z^2 + 2ux + 2vy + 2wz + c=0
with the centre of the sphere being(-u,-v,-w)
2006-12-17 09:56:15 · answer #3 · answered by sushant 3 · 0⤊ 0⤋
sphere is 2-dimensional, because every neighbourhood of a sphere is homeomophic to the open unit disk.
A 3 dimensional sphere is a surface in which every neighbourhood is homeomorphic to the unit ball.
2006-12-14 09:32:19 · answer #4 · answered by Al-Gore 1 · 0⤊ 0⤋
the all points which are equal distance from a fixed point in the space is sphere
2006-12-14 09:16:15 · answer #5 · answered by bhaskar 1 · 0⤊ 0⤋
hav u ever seen a ball
it is a type of sphere
sphere is a three dimensional (ur spelling of dimension is absurd)
figure having same radius from the centre throughout
2006-12-14 08:27:55 · answer #6 · answered by Anonymous · 0⤊ 0⤋
a sphere is a three dimentional figure
in two dimention, it is a circle
example of a sphere is a ball
2006-12-18 06:06:50 · answer #7 · answered by Vaibhav Mittal 2 · 0⤊ 0⤋
sphere IS three-dimensional
2006-12-15 00:14:01 · answer #8 · answered by arpita 5 · 0⤊ 0⤋
in three dimension only..,circle is called a sphere..circle is 2dimensional
sphere is 3dimensional
2006-12-14 07:56:25 · answer #9 · answered by bubbly 2 · 0⤊ 0⤋
when u draw a circle on paper, it's 2D.. a marble is a sphere. it's 3D(:
2006-12-14 07:46:59 · answer #10 · answered by pigley 4 · 0⤊ 0⤋