Question

Wat is the equation of a sphere?
Does it indicate that a point is on the surface of the sphere, or that a point is in the sphere itself?

Answer 1

Point that is on the surface of the sphere.

Answer 2

Depends whether u are a physicist or a math person..:-)

Answer 3

I am talkimg about math

Answer 4

i dont get this

Answer 5

Says the champion :)

Answer 6

its on the surface, if it were inside the sphere the equation would be like\[(x-a)^2+(y-b)^2+(z-c)^2<r^2\]

Answer 7

That is not an equation.

Answer 8

but that's not an equation anymore dodomaroc, it's an inequality.

Answer 9

But otherwise you are correct

Answer 10

Do you mean a formula for its volume or its surface area?

Answer 11

Neither.

Answer 12

neither volume nor surface area, this equation simply shows you which points lie on the surface of the sphere and when graphed, the visual is a sphere.

Answer 13

do you how we say (x-h)^2+(y-k)^2=r^2
is the equation of a circle right?

Answer 14

Ya

Answer 15

n-sphere..

Answer 16

wats an n-sphere?

Answer 17

i bet we could use the distance formula to show the equation of a sphere like we can use the distance formula to show the equation of a circle

Answer 18

but we have 3 dimensions and instead of 2

Answer 19

http://www.youstupidrelativist.com/01Math/08Solid/02Dim.html

Answer 20

so
distance
\[d=\sqrt{(x-x_1)^2+(y-y_1)^2+(z-z1)^2}\]

Answer 21

hmmm. interesting

Answer 22

dang it stupid subscripts

Answer 23

So does this shows the distance between what???

Answer 24

\[d=\sqrt{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2}\]

Answer 25

\[d^2=(x-x_1)^2+(y-y1)^2+(z-z1)^2\]
center is \[(x_1,y_1,z_1)\]
its the distance from a point on the sphere to the center of the sphere

Answer 26

r^2 = sum i=1 to n+1 (x_i-c_i)^2