Total Surface Area of Paraboloid given Lateral Surface Area 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%

✖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 given Lateral Surface Area [TSA]

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Formula

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Total Surface Area of Paraboloid given Lateral Surface Area

Formula

`"TSA" = "LSA"+pi*"r"^2`

Example

`"1128.54m²"="1050m²"+pi*("5m")^2`

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Total Surface Area of Paraboloid given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

Lateral Surface Area of Paraboloid: 1050 Square Meter --> 1050 Square Meter No Conversion Required
Radius of Paraboloid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = LSA+pi*r^2 --> 1050+pi*5^2

Evaluating ... ...

TSA = 1128.53981633974

STEP 3: Convert Result to Output's Unit

1128.53981633974 Square Meter --> No Conversion Required

FINAL ANSWER

1128.53981633974 ≈ 1128.54 Square Meter <-- Total 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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< 6 Total Surface Area of Paraboloid Calculators

Total Surface Area of Paraboloid given Volume

Go Total 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)+(2*Height of Paraboloid)^2)^(3/2)-(2*Volume of Paraboloid)/(pi*Height of Paraboloid)^(3/2)))+(pi*Radius of Paraboloid^2)

Total Surface Area of Paraboloid

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

Total Surface Area of Paraboloid given Height

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

Total Surface Area of Paraboloid given Radius

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

Total Surface Area of Paraboloid given Surface to Volume Ratio

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

Total Surface Area of Paraboloid given Lateral Surface Area

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

< 7 Surface Area of Paraboloid Calculators

Total Surface Area of Paraboloid

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

Total Surface Area of Paraboloid given Height

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

Total Surface Area of Paraboloid given Radius

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

Lateral Surface Area of Paraboloid

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

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

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

Total Surface Area of Paraboloid given Lateral Surface Area

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

Total Surface Area of Paraboloid given Lateral Surface Area Formula

Total Surface Area of Paraboloid = Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2
TSA = LSA+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 Total Surface Area of Paraboloid given Lateral Surface Area?

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

How to calculate Total Surface Area of Paraboloid given Lateral Surface Area using this online calculator? To use this online calculator for Total Surface Area of Paraboloid given Lateral Surface Area, enter Lateral Surface Area of Paraboloid (LSA) & Radius of Paraboloid (r) and hit the calculate button. Here is how the Total Surface Area of Paraboloid given Lateral Surface Area calculation can be explained with given input values -> 1128.54 = 1050+pi*5^2.

FAQ

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

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

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

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

In this formula, Total Surface Area of Paraboloid uses Lateral Surface Area of Paraboloid & Radius of Paraboloid. We can use 8 other way(s) to calculate the same, which is/are as follows -

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

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