Volume Formulas

SHAPE FORMULAS
Ellipsoid
1/3rab
Paraboloid
V = 1/2r2h
Parallelepiped
V = area of base, B, x perpendicular height, h: Bh
Prism
V = area of base, B, x perpendicular height, h: Bh
Cylinder
V = area of base, B, x perpendicular height, h: Bh
Pyramid or Cone
V = area of base, B, x 1/3 perpendicular height, h: 1/3Bh
Sphere
V = 4/3r3 = 1/6 d3 = 0.52359878 d3
Spherical Sector
V = 2/3r2b
Spherical Segment
V = 1/3b2(3r – b) = 1/24b (3c2 + 4b2)
Spherical Zone
V = 1/24b ( 3a2 + 3c2 + 4b2)