Mathematics - Geometry - Volume and Surface Area - Volume of cylinders, cones, and spheres - Volume Formulas for Round Shapes

6 steps: (1) CYLINDER: V = πr²h (base area × height). Like stacking circles. Example: r=3, h=10 → V=90π≈282.7cm³. (2) CONE: V = (1/3)πr²h (one-third of the cylinder). Same r=3, h=10 → V=30π≈94.2cm³. (3) Why 1/3? Exactly 3 cones fill 1 cylinder (same r, h). (4) SPHERE: V = (4/3)πr³. Example: r=5 → V=