Radius 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%

✖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 given Total Surface Area and Lateral Surface Area [r]

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

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)
r = sqrt((TSA-LSA)/pi)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt((TSA-LSA)/pi) --> sqrt((1150-1050)/pi)

Evaluating ... ...

r = 5.64189583547756

STEP 3: Convert Result to Output's Unit

5.64189583547756 Meter --> No Conversion Required

FINAL ANSWER

5.64189583547756 ≈ 5.641896 Meter <-- Radius of Paraboloid

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Radius of Paraboloid Calculators

Radius of Paraboloid formula given Surface to Volume Ratio

LaTeX Go Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi))

Radius of Paraboloid given Total Surface Area and Lateral Surface Area

LaTeX Go Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)

Radius of Paraboloid given Volume

LaTeX Go Radius of Paraboloid = sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid))

Radius of Paraboloid

LaTeX Go Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid)

< Radius of Paraboloid Calculators

Radius of Paraboloid given Total Surface Area and Lateral Surface Area

LaTeX Go Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)

Radius of Paraboloid given Volume

LaTeX Go Radius of Paraboloid = sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid))

Radius of Paraboloid

LaTeX Go Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid)

Radius of Paraboloid given Total Surface Area and Lateral Surface Area Formula

LaTeX Go

Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)
r = sqrt((TSA-LSA)/pi)

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 Radius of Paraboloid given Total Surface Area and Lateral Surface Area?

Radius of Paraboloid given Total Surface Area and Lateral Surface Area calculator uses Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi) to calculate the Radius of Paraboloid, Radius of Paraboloid given Total Surface Area and Lateral Surface Area formula 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, calculated using total surface area and lateral surface area. Radius of Paraboloid is denoted by r symbol.

How to calculate Radius of Paraboloid given Total Surface Area and Lateral Surface Area using this online calculator? To use this online calculator for Radius of Paraboloid given Total Surface Area and Lateral Surface Area, enter Total Surface Area of Paraboloid (TSA) & Lateral Surface Area of Paraboloid (LSA) and hit the calculate button. Here is how the Radius of Paraboloid given Total Surface Area and Lateral Surface Area calculation can be explained with given input values -> 5.641896 = sqrt((1150-1050)/pi).

FAQ

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

Radius of Paraboloid given Total Surface Area and Lateral Surface Area formula 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, calculated using total surface area and lateral surface area and is represented as r = sqrt((TSA-LSA)/pi) or Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi). 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.

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

Radius of Paraboloid given Total Surface Area and Lateral Surface Area formula 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, calculated using total surface area and lateral surface area is calculated using Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi). To calculate Radius of Paraboloid given Total Surface Area and Lateral Surface Area, you need Total Surface Area of Paraboloid (TSA) & Lateral Surface Area of Paraboloid (LSA). With our tool, you need to enter the respective value for Total Surface Area 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 Radius of Paraboloid?

In this formula, Radius of Paraboloid uses Total Surface Area of Paraboloid & Lateral Surface Area of Paraboloid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Paraboloid = sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid))
Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi))
Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid)

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