Give a geometric description of the set of points whose coordinates satisfy the given conditions.
-$$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } 9$$
A) All points outside the cylinder with radius 3
B) All points outside the sphere of radius 3
C) All points in space
D) All points on the surface of the cylinder with radius 3

Question

Give a geometric description of the set of points whose coordinates satisfy the given conditions.
-$$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } > 9$$
A) All points outside the cylinder with radius 3
B) All points outside the sphere of radius 3
C) All points in space
D) All points on the surface of the cylinder with radius 3

Quizplus · Accepted Answer

The equation $x^2+y^2+z^2=9$ represents a sphere with radius 3 centered at the origin. Therefore, the set of points that satisfy $x^2+y^2+z^2>9$ is simply all points outside of this sphere.

Give a Geometric Description of the Set of Points Whose x2+y2+z2>9x ^ { 2 } + y ^ { 2 } + z ^ { 2 } > 9x2+y2+z2>9

Give a Geometric Description of the Set of Points Whose $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } > 9$