how to calculate the value of X, Y and Z in a sphere where by Y is perpendicular to XZ(i mean Y start from north pole to source pole. is it right to calculate the value of r as r=sqrt(x^2 + y^2) or r=sqrt(p^2-Z^2) will this be equal to r=sqrt(x^2 + z^2

Question

amistre64 · Answer

you might want to look into spherical coordinants

anonymous · Answer

will Z=Rcos(theta)sin(phi)? how can i find Z=Rxyproj*sin(phi)  or  Z=Rxyproj*sin(theta) Rxyproj is the projected radius of sphere to xyplane and R the radius of sphere. Y is perpendicular to ZX plane and pointing north pole to south pole

amistre64 · Answer

|dw:1345121572231:dw|

amistre64 · Answer

$$\rho=radius$$$$r=pcos\,\gamma$$$$x=rcos\,\alpha$$$$z=r\,cos\beta$$

amistre64 · Answer

we can reduce this to 2 angles by stating$$z=rsin\,\alpha$$instead

amistre64 · Answer

i see know what to correlate alpha with gamma tho.

and im not sure if i really know what it is youre asking either

amistre64 · Answer

oh, and $\large y=\rho sin\,\gamma$

anonymous · Answer

thanks

anonymous · Answer

for your explanation and solution Godbless you

anonymous · Answer

is it right to calculate the value of r as  r=sqrt(x^2 + y^2) or r=sqrt(p^2-Z^2)  will this be equal to r=sqrt(x^2 + z^2

amistre64 · Answer

|dw:1350477051663:dw|