NESS ENGINEERING
TECHNICAL DATA
SURFACES AND VOLUMES OF COMMON SHAPES
 Cylinder  Sphere Hollow Cylinder  Cone Torus Spherical Sector  Cylinder Portion

 

Cylinder
 

 

Equations

Configuration

Where:

Cylinder Surface

r is the radius 

d is the diameter 

h is the height

Cylinder Volume

r is the radius 

d is the diameter 

h is the height

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Sphere
 

 

Equations

Configuration

Where:

Sphere Surface

r is the radius 

d is the diameter

Sphere Volume

r is the radius 

d is the diameter

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Hollow Cylinder
 

 

Equations

Configuration

Where:

 

Hollow Cylinder Volume

R is the outer radius 

r is the inner radius 

D is the outer diameter 

d is the inner diameter 

h is the height 

t is the thickness

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Cone
 

 

Equations

Configuration

Where:

Cone Surface

r is the base radius 

h is the height

Cone Volume

r is the base radius 

d is the base diameter 

h is the height

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Torus
 
 
 

Equations

Configuration

Where:

Torus Surface

R is the mean radius 

r is the minor radius 

D is the mean diameter 

d is the minor diameter

Torus Volume

R is the mean radius 

r is the minor radius 

D is the mean diameter 

d is the minor diameter

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Spherical Sector
 
 
 

Equations

Configuration

Where:

Spherical Sector Surface

r is the radius 

h is the height

Spherical Sector Volume

r is the radius 

h is the height

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Cylinder Portion
 

 

Equations

Configuration

Where:

Cylinder Portion Surface

r is the radius 

h1 is the 1st height 

h2 is the 2nd height

Cylinder Portion Volume

r is the radius 

h1 is the 1st height 

h2 is the 2nd height

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Ness Engineering
P.O. Box 261501
San Diego, CA 92196
(858) 566-2372

Last Modified: June12, 1999

© 1999 Richard M. Ness and Ness Engineering