Volume of Paraboloid given Total Surface Area and Lateral Surface Area Calculator

✖Total Surface Area of Paraboloid is the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid.ⓘ Total Surface Area of Paraboloid [TSA]			+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 [h]			+10% -10%

✖Volume of Paraboloid is the amount of three dimensional space occupied by the Paraboloid.ⓘ Volume of Paraboloid given Total Surface Area and Lateral Surface Area [V]

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Volume of Paraboloid given Total Surface Area and Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid
V = 1/2*(TSA-LSA)*h
This formula uses 4 Variables

Variables Used

Volume of Paraboloid - (Measured in Cubic Meter) - Volume of Paraboloid is the amount of three dimensional space occupied by the Paraboloid.
Total Surface Area of Paraboloid - (Measured in Square Meter) - Total Surface Area of Paraboloid is the total quantity of two dimensional space enclosed on the entire surface of 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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Paraboloid: 1150 Square Meter --> 1150 Square Meter No Conversion Required
Lateral Surface Area of Paraboloid: 1050 Square Meter --> 1050 Square Meter No Conversion Required
Height of Paraboloid: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/2*(TSA-LSA)*h --> 1/2*(1150-1050)*50

Evaluating ... ...

V = 2500

STEP 3: Convert Result to Output's Unit

2500 Cubic Meter --> No Conversion Required

FINAL ANSWER

2500 Cubic Meter <-- Volume of Paraboloid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Paraboloid » Volume and Surface to Volume Ratio of Paraboloid » Volume of Paraboloid given Total Surface Area and Lateral Surface Area

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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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< 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 given Total Surface Area and Lateral Surface Area Formula

LaTeX Go

Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid
V = 1/2*(TSA-LSA)*h

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 Total Surface Area and Lateral Surface Area?

Volume of Paraboloid given Total Surface Area and Lateral Surface Area calculator uses Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid to calculate the Volume of Paraboloid, The Volume of Paraboloid given Total Surface Area and Lateral Surface Area formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using total surface area and lateral surface area of Paraboloid. Volume of Paraboloid is denoted by V symbol.

How to calculate Volume of Paraboloid given Total Surface Area and Lateral Surface Area using this online calculator? To use this online calculator for Volume of Paraboloid given Total Surface Area and Lateral Surface Area, enter Total Surface Area of Paraboloid (TSA), Lateral Surface Area of Paraboloid (LSA) & Height of Paraboloid (h) and hit the calculate button. Here is how the Volume of Paraboloid given Total Surface Area and Lateral Surface Area calculation can be explained with given input values -> 2500 = 1/2*(1150-1050)*50.

FAQ

What is Volume of Paraboloid given Total Surface Area and Lateral Surface Area?

The Volume of Paraboloid given Total Surface Area and Lateral Surface Area formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using total surface area and lateral surface area of Paraboloid and is represented as V = 1/2*(TSA-LSA)*h or Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid. Total Surface Area of Paraboloid is the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid, Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid & Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid.

How to calculate Volume of Paraboloid given Total Surface Area and Lateral Surface Area?

The Volume of Paraboloid given Total Surface Area and Lateral Surface Area formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using total surface area and lateral surface area of Paraboloid is calculated using Volume of Paraboloid = 1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid. To calculate Volume of Paraboloid given Total Surface Area and Lateral Surface Area, you need Total Surface Area of Paraboloid (TSA), Lateral Surface Area of Paraboloid (LSA) & Height of Paraboloid (h). With our tool, you need to enter the respective value for Total Surface Area of Paraboloid, Lateral Surface Area of Paraboloid & Height 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 Total Surface Area of Paraboloid, Lateral Surface Area of Paraboloid & Height 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 = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid
Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4

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