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`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 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 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