
1.17 Basic Volume Formulas
Cube side
3
Rectangular prism side1
side2
side3
Sphere (4/3)
pi
radius
3
Ellipsoid (4/3)
pi
radius1
radius2
radius3
Cylinder pi
radius
2
height
Cone (1/3)
pi
radius
2
height
Pyramid (1/3)
(base area)
height
Torus (1/4)
pi
2
(r1 1 r2)
(r1 2 r2)
2
(Continued)
Regular n-polygon n
side
Trapezoid height
(base1 1 base2)/2
Trapezoid base1 1 base2 1 height
[csc(theta1) 1 csc(theta2)]
Circle 2
pi
radius
Ellipse 4
radius1
E(k,pi/2). E(k,pi/2) is the complete
elliptic integral of the second kind k 5 (1/radius1)
sqrt(radius1
2
2 radius2
2
)
Circumference or perimeter
of a circle of radius r
2πr
16 Mathematical Formulas for Industrial and Mechanical Engineering ...