Posts Tagged ‘sphere centered’

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.