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# Paraboloid - Surface Area

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Equation / Last modified by KurtHeckman on 2019/03/28 01:03
`A = `

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vCalc.Paraboloid - Surface Area

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The **Surface Area of Paraboloid** calculator computes* Paraboloid * 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**) - the length along the axis. - (
**b**) - the length from the axis to the edge of the parabola.

**Surface Area of Paraboloid (A):** The surface area (A) 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) - a^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.

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This equation,

**Paraboloid - Surface Area**, is used in 1 calculator.**Calculators**