Volume of Paraboloid given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid
V = 1/2*(pi*h^2)/p
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume of Paraboloid - (Measured in Cubic Meter) - Volume of Paraboloid is the amount of three dimensional space occupied by the Paraboloid.
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.
STEP 1: Convert Input(s) to Base Unit
Height of Paraboloid: 50 Meter --> 50 Meter No Conversion Required
Shape Parameter of Paraboloid: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 1/2*(pi*h^2)/p --> 1/2*(pi*50^2)/2
Evaluating ... ...
V = 1963.49540849362
STEP 3: Convert Result to Output's Unit
1963.49540849362 Cubic Meter --> No Conversion Required
FINAL ANSWER
1963.49540849362 1963.495 Cubic Meter <-- Volume of Paraboloid
(Calculation completed in 00.004 seconds)

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Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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Volume and Surface to Volume Ratio of Paraboloid Calculators

Volume of Paraboloid given Surface to Volume Ratio
​ LaTeX ​ Go Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid
Volume of Paraboloid given Total Surface Area and Lateral Surface Area
​ LaTeX ​ Go Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid
Volume of Paraboloid given Radius
​ LaTeX ​ Go Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4
Volume of Paraboloid
​ LaTeX ​ Go Volume of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid

Volume of Paraboloid Calculators

Volume of Paraboloid given Lateral Surface Area
​ LaTeX ​ Go Volume of Paraboloid = pi/(32*Shape Parameter of Paraboloid^3)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)^2
Volume of Paraboloid given Height
​ LaTeX ​ Go Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid
Volume of Paraboloid given Radius
​ LaTeX ​ Go Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4
Volume of Paraboloid
​ LaTeX ​ Go Volume of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid

Volume of Paraboloid given Height Formula

​LaTeX ​Go
Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid
V = 1/2*(pi*h^2)/p

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 Volume of Paraboloid given Height?

Volume of Paraboloid given Height calculator uses Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid to calculate the Volume of Paraboloid, The Volume of Paraboloid given Height formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using height of Paraboloid. Volume of Paraboloid is denoted by V symbol.

How to calculate Volume of Paraboloid given Height using this online calculator? To use this online calculator for Volume of Paraboloid given Height, enter Height of Paraboloid (h) & Shape Parameter of Paraboloid (p) and hit the calculate button. Here is how the Volume of Paraboloid given Height calculation can be explained with given input values -> 1963.495 = 1/2*(pi*50^2)/2.

FAQ

What is Volume of Paraboloid given Height?
The Volume of Paraboloid given Height formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using height of Paraboloid and is represented as V = 1/2*(pi*h^2)/p or Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid. 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 is the total length of the boundary or outer edge of Paraboloid.
How to calculate Volume of Paraboloid given Height?
The Volume of Paraboloid given Height formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using height of Paraboloid is calculated using Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid. To calculate Volume of Paraboloid given Height, you need Height of Paraboloid (h) & Shape Parameter of Paraboloid (p). With our tool, you need to enter the respective value for Height of Paraboloid & Shape Parameter 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 Volume of Paraboloid?
In this formula, Volume of Paraboloid uses Height of Paraboloid & Shape Parameter of Paraboloid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid
  • Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid
  • Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid
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