1. The problem asks to identify the mathematical names of four given shapes labeled A, B, C, and D. 2. The shapes are described as follows: - A (blue shape): Cylinder - B (orange shape): Sphere - C (green shape): Pyramid - D (purple shape): Cone 3. These are standard 3D geometric solids: - A cylinder is a solid with two parallel circular bases connected by a curved surface. - A sphere is a perfectly round 3D shape where every point on the surface is equidistant from the center. - A pyramid has a polygonal base and triangular faces that meet at a single point (apex). - A cone has a circular base and a curved surface that tapers to a single point (apex). 4. Therefore, the mathematical names for the shapes are exactly as given: Cylinder, Sphere, Pyramid, and Cone. Final answer: - A: Cylinder - B: Sphere - C: Pyramid - D: Cone