Hemisphere in 3D Coordinate System - Mathematical Visualization #1765601 (License: Personal Use)

This illustration depicts a light-blue translucent hemisphere centered at the origin in a right-handed 3D Cartesian coordinate system. The solid black line connects point (x, y, z) on the curved surface to its orthogonal projection (x, 0, z) on the xz-plane, demonstrating vertical height (y-coordinate) and planar positioning. Dashed curves indicate hidden edges for spatial clarity.

Used in mathematics education, particularly in multivariable calculus, vector analysis, or geometry lessons covering surfaces, parametrization, or triple integrals. Matches user intent for visualizing 3D regions, spherical coordinates, or volume integration setups.