Geometry volume formulas

Formula: Volume of a Cylinder

V = πr²h

Formula: Volume of a prism

V = Bh (Base area * altitude)

Formula: Volume of a pyramid

V = ⅓Bh

Formula: Volume of a cone

V = ⅓πr²h

Formula: Volume of a sphere

V = 4/3πr³

Formula: Lateral area of a prism

LA = ph (base perimeter * altitude)

Formula: Surface area of a prism

SA = ph + 2B (base perimeter altitude + 2 base area)

Formula: Lateral area of a cylinder

LA = 2πrh (circumference * altitude)

Formula: Surface area of a cylinder

SA = 2πrh + 2πr² (circumference of the base altitude + 2 base area)

Formula: Lateral area of a pyramid

LA = 1/2 ps (1/2 base perimeter slant height)

Formula: Surface area of a pyramid

SA = 1/2 ps + B (1/2 base perimeter * slant height + base area)

Formula: Lateral area of a cone

LA = πrs

Formula: Surface area of a cone

SA = πrs + πr² (s as the slant height and r as the base radius)

Formula: Surface area of a sphere

SA = 4πr²