Lateral Surface Area of Paraboloid given Total 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%
✖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%

✖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 given Total Surface Area [LSA]

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Lateral Surface Area of Paraboloid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2
LSA = TSA-pi*r^2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Total Surface Area of Paraboloid: 1150 Square Meter --> 1150 Square Meter No Conversion Required
Radius of Paraboloid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = TSA-pi*r^2 --> 1150-pi*5^2

Evaluating ... ...

LSA = 1071.46018366026

STEP 3: Convert Result to Output's Unit

1071.46018366026 Square Meter --> No Conversion Required

FINAL ANSWER

1071.46018366026 ≈ 1071.46 Square Meter <-- Lateral Surface Area 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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Indian Institute of Information Technology (IIIT), Bhopal

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< Lateral Surface Area of Paraboloid Calculators

Lateral Surface Area of Paraboloid given Volume

LaTeX Go Lateral Surface Area of Paraboloid = (pi*sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid)))/(6*Height of Paraboloid^2)*(((2*Volume of Paraboloid)/(pi*Height of Paraboloid)+4*Height of Paraboloid^2)^(3/2)-(2*Volume of Paraboloid)/(pi*Height of Paraboloid)^(3/2))

Lateral Surface Area of Paraboloid

LaTeX Go Lateral Surface Area of Paraboloid = (pi*Radius of Paraboloid)/(6*Height of Paraboloid^2)*((Radius of Paraboloid^2+4*Height of Paraboloid^2)^(3/2)-Radius of Paraboloid^3)

Lateral Surface Area of Paraboloid given Surface to Volume Ratio

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

Lateral Surface Area of Paraboloid given Total Surface Area

LaTeX Go Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2

< Surface Area of Paraboloid Calculators

Total Surface Area of Paraboloid

LaTeX Go Total Surface Area of Paraboloid = ((pi*Radius of Paraboloid)/(6*Height of Paraboloid^2)*((Radius of Paraboloid^2+4*Height of Paraboloid^2)^(3/2)-Radius of Paraboloid^3))+pi*Radius of Paraboloid^2

Lateral Surface Area of Paraboloid

LaTeX Go Lateral Surface Area of Paraboloid = (pi*Radius of Paraboloid)/(6*Height of Paraboloid^2)*((Radius of Paraboloid^2+4*Height of Paraboloid^2)^(3/2)-Radius of Paraboloid^3)

Lateral Surface Area of Paraboloid given Height

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

Lateral Surface Area of Paraboloid given Total Surface Area

LaTeX Go Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2

Lateral Surface Area of Paraboloid given Total Surface Area Formula

LaTeX Go

Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2
LSA = TSA-pi*r^2

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 Lateral Surface Area of Paraboloid given Total Surface Area?

Lateral Surface Area of Paraboloid given Total Surface Area calculator uses Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2 to calculate the Lateral Surface Area of Paraboloid, Lateral Surface Area of Paraboloid given Total Surface Area formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid, calculated using total surface area. Lateral Surface Area of Paraboloid is denoted by LSA symbol.

How to calculate Lateral Surface Area of Paraboloid given Total Surface Area using this online calculator? To use this online calculator for Lateral Surface Area of Paraboloid given Total Surface Area, enter Total Surface Area of Paraboloid (TSA) & Radius of Paraboloid (r) and hit the calculate button. Here is how the Lateral Surface Area of Paraboloid given Total Surface Area calculation can be explained with given input values -> 1071.46 = 1150-pi*5^2.

FAQ

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

Lateral Surface Area of Paraboloid given Total Surface Area formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid, calculated using total surface area and is represented as LSA = TSA-pi*r^2 or Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2. Total Surface Area of Paraboloid is the total quantity of two dimensional space enclosed on the entire surface of the 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 Lateral Surface Area of Paraboloid given Total Surface Area?

Lateral Surface Area of Paraboloid given Total Surface Area formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid, calculated using total surface area is calculated using Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2. To calculate Lateral Surface Area of Paraboloid given Total Surface Area, you need Total Surface Area of Paraboloid (TSA) & Radius of Paraboloid (r). With our tool, you need to enter the respective value for Total Surface Area 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 Lateral Surface Area of Paraboloid?

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

Lateral Surface Area of Paraboloid = (pi*Radius of Paraboloid)/(6*Height of Paraboloid^2)*((Radius of Paraboloid^2+4*Height of Paraboloid^2)^(3/2)-Radius of Paraboloid^3)
Lateral Surface Area of Paraboloid = (pi*sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid)))/(6*Height of Paraboloid^2)*(((2*Volume of Paraboloid)/(pi*Height of Paraboloid)+4*Height of Paraboloid^2)^(3/2)-(2*Volume of Paraboloid)/(pi*Height of Paraboloid)^(3/2))
Lateral Surface Area of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid*Surface to Volume Ratio of Paraboloid-pi*Radius of Paraboloid^2

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