Question

The wedge above the xy-plane formed when the cylinder x² + y² = 4 is cut by the planes z = 0 and y = -z.

A) It forms a circle with radius 2.
B) It creates a rectangular shape.
C) It results in a triangular region.
D) It generates a hexagonal structure.

Answer 1

The wedge formed when the cylinder x² + y² = 4 is cut by the planes z = 0 and y = -z results in a triangular region.

Step-by-step explanation:

The cylinder x² + y² = 4 can be visualized as a circular shape with a radius of 2 units. When this cylinder is cut by the planes z = 0 and y = -z, it creates a triangular region. This triangular region is formed by the intersection of the circular base of the cylinder with the planes, resulting in three curved edges that form the sides of the triangle.