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

question 78

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 \(z = 7\)

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