`A = pi*b^2 + (pi*b)/(6*h^2)* [ (b^2 + 4h^2)^(3/2) - b^3]`

Enter a value for all fields

The Surface Area of Paraboloid calculator computes the surface area of revolution of a parabola around an axis of length (a) of a width of (b) including the circular base.

INSTRUCTIONS: Choose units and enter the following:

• (a) Axis Length
• (b) Cross Radius

Surface Area of Paraboloid (A): The surface area is returned in square meters.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the surface area of a paraboloid is:

          `A = πb² + (πb) / (6a^2) * ( (b^2+4a^2)^(3/2) - b^3)`

where:

• A is the surface area of the paraboloid
• a is the length along the central axis
• b is the radius at point a

Parabola Calculators

• Parabola Formula:  This computes the y coordinate of a parabola in the form y = a•x²+b•x+c
• Parabolic Area: This computes the area within a section of a parabola
• Parabolic Area (Concave): This computes the outer area of a section of a parabola.
• Parabolic Arc Length: This computes the length a long a segment of a parabola.
• Paraboloid Volume: This is the volume of a parabola rotated around an axis (i.e. paraboloid)
• Paraboloid Surface Area : This is the surface area of a paraboloid.
• Paraboloid Weight: This is the weight or mass of a paraboloid.
• Ballistic Flight Parabolic Equation: This provides the formula of the parabola that matches a ballistic flight.

Volume Calculators:

• 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 Triangular - 3 sided column
• Volume of a Quadrilateral - 4 sided column
• Volume of a Pentagon - 5 sided regular column
• Volume of a Hexagon - 6 sided regular column
• Volume of a Heptagon - 7 sided regular column
• Volume of a Octagon - 8 sided regular column
• Volume of a Nonagon - 9 sided regular column
• Volume of a Decagon - 10 sided regular column
• Volume of a Hendecagon  - 11 sided regular column
• Volume of a Dodecagon  - 12 sided regular column
• Volume of a Paraboloid
• Volume of a Polygon based Pyramid
• Volume of a Pyramid Frustum
• Volume of a Sphere
• Volume of a Oblate Spheroid
• Volume of a Ellipsoid