Give a Geometric Description of the Set of Points Whose $$x ^ { 2 } + y ^ { 2 } \leq 1 , z = 7$$

Multiple Choice

Give a geometric description of the set of points whose coordinates satisfy the given conditions.
- $$x ^ { 2 } + y ^ { 2 } \leq 1 , z = 7$$

A) All points within the parabola $x ^ { 2 } + y ^ { 2 } = 1$ in the plane $z = 7$
B) All points on the cylinder with radius 1 along the $z$ -axis
C) All points on or outside of the circle $x ^ { 2 } + y ^ { 2 } = 1$ and in the plane $z = 7$
D) All points on or within the circle $x ^ { 2 } + y ^ { 2 } = 1$ and in the plane $z = 7$