Problem 677

Find the equation of the sphere centered at (-2;10;9) with radius 10.

………………………….= 0.

Give an equation which describes the intersection of this sphere with the plane z = 10.

…………………………= 0.

Solution:-

Find the equation of the sphere centered at (-2;10;9) with radius 10.

$(x+2)^{2}+(y-10)^{2}+(z-9)^{2}-100$ = 0.

Give an equation which describes the intersection of this sphere with the plane z = 10.

$(x+2)^{2}+(y-10)^{2}-99$ = 0.