Height of Paraboloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Paraboloid = Shape Parameter of Paraboloid*Radius of Paraboloid^2
h = p*r^2
This formula uses 3 Variables
Variables Used
Height of Paraboloid - (Measured in Meter) - Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid.
Shape Parameter of Paraboloid - Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid.
Radius of Paraboloid - (Measured in Meter) - Radius of Paraboloid is defined as the length of the straight line from the center to any point on the circumference of the circular face of the Paraboloid.
STEP 1: Convert Input(s) to Base Unit
Shape Parameter of Paraboloid: 2 --> No Conversion Required
Radius of Paraboloid: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = p*r^2 --> 2*5^2
Evaluating ... ...
h = 50
STEP 3: Convert Result to Output's Unit
50 Meter --> No Conversion Required
FINAL ANSWER
50 Meter <-- Height of Paraboloid
(Calculation completed in 00.004 seconds)

Credits

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Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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Verified by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Height of Paraboloid Calculators

Height of Paraboloid given Surface to Volume Ratio
​ LaTeX ​ Go Height of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/(1/2*pi*Radius of Paraboloid^2*Surface to Volume Ratio of Paraboloid)
Height of Paraboloid given Volume, Lateral Surface Area and Total Surface Area
​ LaTeX ​ Go Height of Paraboloid = (2*Volume of Paraboloid)/(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)
Height of Paraboloid given Volume
​ LaTeX ​ Go Height of Paraboloid = (2*Volume of Paraboloid)/(pi*Radius of Paraboloid^2)
Height of Paraboloid
​ LaTeX ​ Go Height of Paraboloid = Shape Parameter of Paraboloid*Radius of Paraboloid^2

Height of Paraboloid Calculators

Height of Paraboloid given Volume
​ LaTeX ​ Go Height of Paraboloid = (2*Volume of Paraboloid)/(pi*Radius of Paraboloid^2)
Height of Paraboloid
​ LaTeX ​ Go Height of Paraboloid = Shape Parameter of Paraboloid*Radius of Paraboloid^2

Height of Paraboloid Formula

​LaTeX ​Go
Height of Paraboloid = Shape Parameter of Paraboloid*Radius of Paraboloid^2
h = p*r^2

What is Paraboloid?

In geometry, a Paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry. Every plane section of a paraboloid by a plane parallel to the axis of symmetry is a parabola. The paraboloid is hyperbolic if every other plane section is either a hyperbola, or two crossing lines (in the case of a section by a tangent plane). The paraboloid is elliptic if every other nonempty plane section is either an ellipse, or a single point (in the case of a section by a tangent plane). A paraboloid is either elliptic or hyperbolic.

How to Calculate Height of Paraboloid?

Height of Paraboloid calculator uses Height of Paraboloid = Shape Parameter of Paraboloid*Radius of Paraboloid^2 to calculate the Height of Paraboloid, The Height of Paraboloid formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid. Height of Paraboloid is denoted by h symbol.

How to calculate Height of Paraboloid using this online calculator? To use this online calculator for Height of Paraboloid, enter Shape Parameter of Paraboloid (p) & Radius of Paraboloid (r) and hit the calculate button. Here is how the Height of Paraboloid calculation can be explained with given input values -> 50 = 2*5^2.

FAQ

What is Height of Paraboloid?
The Height of Paraboloid formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid and is represented as h = p*r^2 or Height of Paraboloid = Shape Parameter of Paraboloid*Radius of Paraboloid^2. Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid & Radius of Paraboloid is defined as the length of the straight line from the center to any point on the circumference of the circular face of the Paraboloid.
How to calculate Height of Paraboloid?
The Height of Paraboloid formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid is calculated using Height of Paraboloid = Shape Parameter of Paraboloid*Radius of Paraboloid^2. To calculate Height of Paraboloid, you need Shape Parameter of Paraboloid (p) & Radius of Paraboloid (r). With our tool, you need to enter the respective value for Shape Parameter of Paraboloid & Radius of Paraboloid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Height of Paraboloid?
In this formula, Height of Paraboloid uses Shape Parameter of Paraboloid & Radius of Paraboloid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Paraboloid = (2*Volume of Paraboloid)/(pi*Radius of Paraboloid^2)
  • Height of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/(1/2*pi*Radius of Paraboloid^2*Surface to Volume Ratio of Paraboloid)
  • Height of Paraboloid = (2*Volume of Paraboloid)/(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)
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