Height of Paraboloid given Lateral Surface Area Calculator

✖Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid.ⓘ Shape Parameter of Paraboloid [p]			+10% -10%
✖Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid.ⓘ Lateral Surface Area of Paraboloid [LSA]			+10% -10%

✖Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid.ⓘ Height of Paraboloid given Lateral Surface Area [h]

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Height of Paraboloid given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)
h = 1/(4*p)*(((6*LSA*p^2)/pi+1)^(2/3)-1)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Lateral Surface Area of Paraboloid - (Measured in Square Meter) - Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid.

STEP 1: Convert Input(s) to Base Unit

Shape Parameter of Paraboloid: 2 --> No Conversion Required
Lateral Surface Area of Paraboloid: 1050 Square Meter --> 1050 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 1/(4*p)*(((6*LSA*p^2)/pi+1)^(2/3)-1) --> 1/(4*2)*(((6*1050*2^2)/pi+1)^(2/3)-1)

Evaluating ... ...

h = 49.9683278457361

STEP 3: Convert Result to Output's Unit

49.9683278457361 Meter --> No Conversion Required

FINAL ANSWER

49.9683278457361 ≈ 49.96833 Meter <-- Height of Paraboloid

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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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 given Lateral Surface Area Formula

LaTeX Go

Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)
h = 1/(4*p)*(((6*LSA*p^2)/pi+1)^(2/3)-1)

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 given Lateral Surface Area?

Height of Paraboloid given Lateral Surface Area calculator uses Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1) to calculate the Height of Paraboloid, The Height of Paraboloid given Lateral Surface Area formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid, calculated using lateral surface area of Paraboloid. Height of Paraboloid is denoted by h symbol.

How to calculate Height of Paraboloid given Lateral Surface Area using this online calculator? To use this online calculator for Height of Paraboloid given Lateral Surface Area, enter Shape Parameter of Paraboloid (p) & Lateral Surface Area of Paraboloid (LSA) and hit the calculate button. Here is how the Height of Paraboloid given Lateral Surface Area calculation can be explained with given input values -> 49.96833 = 1/(4*2)*(((6*1050*2^2)/pi+1)^(2/3)-1).

FAQ

What is Height of Paraboloid given Lateral Surface Area?

The Height of Paraboloid given Lateral Surface Area formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid, calculated using lateral surface area of Paraboloid and is represented as h = 1/(4*p)*(((6*LSA*p^2)/pi+1)^(2/3)-1) or Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1). Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid & Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid.

How to calculate Height of Paraboloid given Lateral Surface Area?

The Height of Paraboloid given Lateral Surface Area formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid, calculated using lateral surface area of Paraboloid is calculated using Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1). To calculate Height of Paraboloid given Lateral Surface Area, you need Shape Parameter of Paraboloid (p) & Lateral Surface Area of Paraboloid (LSA). With our tool, you need to enter the respective value for Shape Parameter of Paraboloid & Lateral Surface Area 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 & Lateral Surface Area 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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