- #1
Nikitin
- 735
- 27
Homework Statement
Sphere with P as centre has equation (x-5)^2 + (y-9)^2 + z^2 -100 = 0
Sphere with Q as centre has equation (x-1)^2 + (y+3)^2 + (z-3)^2 -49 =0
These spheres intervine with each other. Find the surface area of the object limited by the two spheres.
The Attempt at a Solution
Allright, the spheres have centres in P and Q. |PQ|=|[-4,-12,3]|=13. Radius of sphere P is 10, of sphere Q 7.
Here's a picture of the situation http://cameroid.com/i/JMJ80-A1 . Just read the letters from right to left and u should be good. The yellowish thing is supposed to represent the intervined part of the two spheres.
I need to find the distance PS but I don't know how. I tried proving that the triangle contains 3 proportional triangles but I don't think that's the case..