Volume of Paraboloid given Surface to Volume Ratio Calculator

✖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%
✖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%
✖Surface to Volume Ratio of Paraboloid is the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid.ⓘ Surface to Volume Ratio of Paraboloid [R_A/V]			+10% -10%

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

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Formula

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Volume of Paraboloid given Surface to Volume Ratio

Formula

`"V" = ("LSA"+pi*"r"^2)/"R"_{"A/V"}`

Example

`"1880.9m³"=("1050m²"+pi*("5m")^2)/"0.6m⁻¹"`

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Volume of Paraboloid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid
V = (LSA+pi*r^2)/R_A/V
This formula uses 1 Constants, 4 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.
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.
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.
Surface to Volume Ratio of Paraboloid - (Measured in 1 per Meter) - Surface to Volume Ratio of Paraboloid is the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Paraboloid: 1050 Square Meter --> 1050 Square Meter No Conversion Required
Radius of Paraboloid: 5 Meter --> 5 Meter No Conversion Required
Surface to Volume Ratio of Paraboloid: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (LSA+pi*r^2)/R_A/V --> (1050+pi*5^2)/0.6

Evaluating ... ...

V = 1880.89969389957

STEP 3: Convert Result to Output's Unit

1880.89969389957 Cubic Meter --> No Conversion Required

FINAL ANSWER

1880.89969389957 ≈ 1880.9 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

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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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< 5 Volume and Surface to Volume Ratio of Paraboloid Calculators

Volume of Paraboloid given Surface to Volume Ratio

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

Go Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid

Volume of Paraboloid given Height

Go Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid

Volume of Paraboloid given Radius

Go Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4

Volume of Paraboloid

Go Volume of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid

Volume of Paraboloid given Surface to Volume Ratio Formula

Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid
V = (LSA+pi*r^2)/R_A/V

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 Surface to Volume Ratio?

Volume of Paraboloid given Surface to Volume Ratio calculator uses Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid to calculate the Volume of Paraboloid, The Volume of Paraboloid given Surface to Volume Ratio formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using surface to volume ratio of Paraboloid. Volume of Paraboloid is denoted by V symbol.

How to calculate Volume of Paraboloid given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Paraboloid given Surface to Volume Ratio, enter Lateral Surface Area of Paraboloid (LSA), Radius of Paraboloid (r) & Surface to Volume Ratio of Paraboloid (R_A/V) and hit the calculate button. Here is how the Volume of Paraboloid given Surface to Volume Ratio calculation can be explained with given input values -> 1880.9 = (1050+pi*5^2)/0.6.

FAQ

What is Volume of Paraboloid given Surface to Volume Ratio?

The Volume of Paraboloid given Surface to Volume Ratio formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using surface to volume ratio of Paraboloid and is represented as V = (LSA+pi*r^2)/R_A/V or Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid. Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface 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 & Surface to Volume Ratio of Paraboloid is the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid.

How to calculate Volume of Paraboloid given Surface to Volume Ratio?

The Volume of Paraboloid given Surface to Volume Ratio formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using surface to volume ratio of Paraboloid is calculated using Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid. To calculate Volume of Paraboloid given Surface to Volume Ratio, you need Lateral Surface Area of Paraboloid (LSA), Radius of Paraboloid (r) & Surface to Volume Ratio of Paraboloid (R_A/V). With our tool, you need to enter the respective value for Lateral Surface Area of Paraboloid, Radius of Paraboloid & Surface to Volume Ratio 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 Lateral Surface Area of Paraboloid, Radius of Paraboloid & Surface to Volume Ratio of Paraboloid. We can use 4 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 = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4
Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid

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