Sphere - Cap Volume

The Volume of a the Cap of a Sphere calculator computes Cap of a Sphere the volume of the cap of a sphere defined by a depth (h) from the surface in a sphere defined by a radius (r) .

INSTRUCTIONS:  Choose units and enter the following:

• (r) The radius of the sphere.
• (h) The depth from the surface that defines the cap.

Volume of Sphere Cap (V):  The calculator returns the volume in cubic meters.  However, this can be automatically converted to other volume units via the pull-down menu.

The Math / Science

The formula for the volume of a sphere cap is:

     V = π•h²(3•r-h)/3

where:

• V is the volume of the sphere cap
• r is the radius of the sphere
• h is the height of the cap

Sphere Calculators

• Sphere Surface Area based radius (r)
• Sphere Surface Area from Volume
• Sphere Volume from Radius
• Sphere Volume from Circumference
• Sphere Volume from Surface Area
• Sphere Volume from Mass and Density
• Sphere Radius from Volume
• Sphere Radius from Surface Area
• Sphere Weight (Mass) from volume and density
• Sphere Density
• Area of Triangle on a Sphere
• Distance between Two Points on a Sphere
• Sphere Cap Surface Area
• Sphere Cap Volume
• Sphere Cap Weight (Mass) 
• Sphere Segment Volume
• Sphere Segment Weight (Mass)
• Sphere Segment Wall Surface Area (without the circular top and bottom ends)
• Sphere Segment Full Surface Area  (with the top and bottom circles, aka ends)
• Volume of Spherical Shell
• Mass of Spherical Shell

Volume is a three dimensional measurement of the amount of space taken up by an object.  Volume units are cubic measurements for solid objects such as cubic inches and cubic meters.  Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel. 

The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape.  Many such calculations are available in the following list of calculators. 

In many cases, the calculators are for a column with a geometric shaped base and vertical sides.  One basic formula for volume is area times a Height when the volume has vertical sides.

Volume Calculators

• Volume from Area and Height
• Volume of a Cube 
• Volume of a Box
• Volume of a Cone
• Volume of a Cone Frustum
• Volume of a Cylinder
• Volume of a Slanted Cylinder
• Volume of a Semicircle
• Volume of a Triangular 
• Volume of a Quadrilateral 
• Volume of a Pentagon 
• Volume of a Hexagon 
• Volume of a Heptagon
• Volume of a Octagon
• Volume of a Nonagon
• Volume of a Decagon
• Volume of a Hendecagon
• Volume of a Dodecagon
• Volume of a Paraboloid
• Volume of a Polygon based Pyramid
• Volume of a Pyramid Frustum
• Volume of a Sphere
• Volume of a Sphere Cap
• Volume of a Sphere Segment
• Volume of a Sphere Shell
• Volume of a Oblate Spheroid
• Volume of a Ellipsoid
• Volume of a Torus
• Volume of a Bottle
• Volume of a Chamfer
• Gasket Volume