Volume of Paraboloid given Radius Calculator

✖Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid.ⓘ Shape Parameter of Paraboloid [p]			+10% -10%
✖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.ⓘ Radius of Paraboloid [r]			+10% -10%

✖Volume of Paraboloid is the amount of three dimensional space occupied by the Paraboloid.ⓘ Volume of Paraboloid given Radius [V]

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Volume of Paraboloid given Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4
V = 1/2*pi*p*r^4
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.
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

V = 1/2*pi*p*r^4 --> 1/2*pi*2*5^4

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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Created by Divanshi Jain

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

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< 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 Radius Formula

LaTeX Go

Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4
V = 1/2*pi*p*r^4

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 Radius?

Volume of Paraboloid given Radius calculator uses Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4 to calculate the Volume of Paraboloid, The Volume of Paraboloid given Radius formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using radius of Paraboloid. Volume of Paraboloid is denoted by V symbol.

How to calculate Volume of Paraboloid given Radius using this online calculator? To use this online calculator for Volume of Paraboloid given Radius, enter Shape Parameter of Paraboloid (p) & Radius of Paraboloid (r) and hit the calculate button. Here is how the Volume of Paraboloid given Radius calculation can be explained with given input values -> 1963.495 = 1/2*pi*2*5^4.

FAQ

What is Volume of Paraboloid given Radius?

The Volume of Paraboloid given Radius formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using radius of Paraboloid and is represented as V = 1/2*pi*p*r^4 or Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4. 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 Volume of Paraboloid given Radius?

The Volume of Paraboloid given Radius formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using radius of Paraboloid is calculated using Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4. To calculate Volume of Paraboloid given Radius, 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 Volume of Paraboloid?

In this formula, Volume 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 -

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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