Ask Question
19 August, 05:37

Find an equation of the sphere with center (2, - 6, 4) and radius 5. Describe its intersection with each of the coordinate planes

+5
Answers (1)
  1. 19 August, 06:00
    0
    Since this is a 3D object, the center of the sphere has 3 coordinates: x=2, y = - 6 and z = 4.

    The equation would be:

    (x-2) ^2 + (y+6) ^2 + (z-4) ^2 = 5^2 (answer).

    To find the equation of the intersection of this sphere with the xy plane, let z = 0. Then (x-2) ^2 + (y+6) ^2 + (0-4) ^2 = 25

    This simplifies to (x-2) ^2 + (y+6) ^2 = 5^2 (or 25).

    Find and describe the sphere's intersections with the other 2 coord. planes.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Find an equation of the sphere with center (2, - 6, 4) and radius 5. Describe its intersection with each of the coordinate planes ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers