Surface and Volume Equations
Sphere
Hollow Cylinder
Cone
Torus
Spherical Sector
Cylinder Portion
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 |
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 |
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 |
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 |
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 |
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 |
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 |