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

 

Cylinder
 
Diagram for calculating cylinder volume and surface area
 

Equations

Configuration

Where:

Equation for calculating cylinder surface area

Cylinder Surface

r is the radius 

d is the diameter 

h is the height

Equation for calculating cylinder volume

Cylinder Volume

r is the radius 

d is the diameter 

h is the height

Back to Top

Sphere
 
Diagram for calculating sphere surface area and volume
 

Equations

Configuration

Where:

Equation for calculating sphere surface area

Sphere Surface

r is the radius 

d is the diameter

Equation for calculating sphere volume

Sphere Volume

r is the radius 

d is the diameter

Back to Top

Hollow Cylinder
 
Diagram for calculating hollow cylinder volume
 

Equations

Configuration

Where:

 Equation for calculating hollow cylinder volume

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

Back to Top

Cone
 
Diagram for calculating cone surface area and volume
 

Equations

Configuration

Where:

Equation for calculating cone surface area

Cone Surface

r is the base radius 

h is the height

Equation for calculating cone volume

Cone Volume

r is the base radius 

d is the base diameter 

h is the height

Back to Top

Torus
 
 Diagram for calculating torus surface area and volume
 

Equations

Configuration

Where:

Equation for calculating torus surface area

Torus Surface

R is the mean radius 

r is the minor radius 

D is the mean diameter 

d is the minor diameter

Equation for calculating torus volume

Torus Volume

R is the mean radius 

r is the minor radius 

D is the mean diameter 

d is the minor diameter

Back to Top

Spherical Sector
 
 Diagram for calculating spherical sector surface area and volume
 

Equations

Configuration

Where:

Equation for calculating spherical sector surface area

Spherical Sector Surface

r is the radius 

h is the height

Equation for calculating spherical sector volume

Spherical Sector Volume

r is the radius 

h is the height

Back to Top

Cylinder Portion
 
Diagram for calculating cylinder portion surface area and volume
 

Equations

Configuration

Where:

Equation for calculating cylinder portion surface area

Cylinder Portion Surface

r is the radius 

h1 is the 1st height 

h2 is the 2nd height

Equation for calculating cylinder portion volume

Cylinder Portion Volume

r is the radius 

h1 is the 1st height 

h2 is the 2nd height

Back to Top
 


Send consulting inquiries, comments, and suggestions to nessengr@san.rr.com

[BACK] [HOME] [RESUME] [PUBLICATIONS] [NEWS] [LINKS] [CAPABILITIES] [TECHDATA]

Ness Engineering, Inc.
P.O. Box 261501
San Diego, CA 92196
(858) 566-2372
(858) 240-2299 FAX

Richard M. Ness and Ness Engineering, Inc.
Last Updated:

Website File Auto-Update Javascript courtesy of www.javafile.com   Download the Script