Area under Curve of Solid of Revolution given Volume Calculator

✖Volume of Solid of Revolution is the total quantity of three dimensional space enclosed by the entire surface of the Solid of Revolution.ⓘ Volume of Solid of Revolution [V]			+10% -10%
✖Radius at Area Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to area under the revolving curve to the axis of rotation of the Solid of Revolution.ⓘ Radius at Area Centroid of Solid of Revolution [r_{Area Centroid}]			+10% -10%

✖Area under Curve Solid of Revolution is defined as the total quantity of two dimensional space enclosed under the curve in a plane, which revolve around a fixed axis to form the Solid of Revolution.ⓘ Area under Curve of Solid of Revolution given Volume [A_Curve]

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Area under Curve of Solid of Revolution given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution)
A_Curve = V/(2*pi*r_{Area Centroid})
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area under Curve Solid of Revolution - (Measured in Square Meter) - Area under Curve Solid of Revolution is defined as the total quantity of two dimensional space enclosed under the curve in a plane, which revolve around a fixed axis to form the Solid of Revolution.
Volume of Solid of Revolution - (Measured in Cubic Meter) - Volume of Solid of Revolution is the total quantity of three dimensional space enclosed by the entire surface of the Solid of Revolution.
Radius at Area Centroid of Solid of Revolution - (Measured in Meter) - Radius at Area Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to area under the revolving curve to the axis of rotation of the Solid of Revolution.

STEP 1: Convert Input(s) to Base Unit

Volume of Solid of Revolution: 3800 Cubic Meter --> 3800 Cubic Meter No Conversion Required
Radius at Area Centroid of Solid of Revolution: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Curve = V/(2*pi*r_{Area Centroid}) --> 3800/(2*pi*12)

Evaluating ... ...

A_Curve = 50.3990653124335

STEP 3: Convert Result to Output's Unit

50.3990653124335 Square Meter --> No Conversion Required

FINAL ANSWER

50.3990653124335 ≈ 50.39907 Square Meter <-- Area under Curve Solid of Revolution

(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Area under Curve of Solid of Revolution Calculators

Area under Curve of Solid of Revolution

LaTeX Go Area under Curve Solid of Revolution = (Lateral Surface Area of Solid of Revolution+(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi))/(2*pi*Radius at Area Centroid of Solid of Revolution*Surface to Volume Ratio of Solid of Revolution)

Area under Curve of Solid of Revolution given Volume

LaTeX Go Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution)

Area under Curve of Solid of Revolution given Volume Formula

LaTeX Go

Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution)
A_Curve = V/(2*pi*r_{Area Centroid})

What is Solid of Revolution?

A Solid of Revolution is a solid figure obtained by rotating a plane figure around some straight line that lies on the same plane. The surface created by this revolution and which bounds the solid is the surface of revolution.

How to Calculate Area under Curve of Solid of Revolution given Volume?

Area under Curve of Solid of Revolution given Volume calculator uses Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution) to calculate the Area under Curve Solid of Revolution, Area under Curve of Solid of Revolution given Volume formula is defined as the total quantity of two dimensional space enclosed under the curve in a plane, which revolve around a fixed axis to form the Solid of Revolution, calculated using its volume. Area under Curve Solid of Revolution is denoted by A_Curve symbol.

How to calculate Area under Curve of Solid of Revolution given Volume using this online calculator? To use this online calculator for Area under Curve of Solid of Revolution given Volume, enter Volume of Solid of Revolution (V) & Radius at Area Centroid of Solid of Revolution (r_{Area Centroid}) and hit the calculate button. Here is how the Area under Curve of Solid of Revolution given Volume calculation can be explained with given input values -> 50.39907 = 3800/(2*pi*12).

FAQ

What is Area under Curve of Solid of Revolution given Volume?

Area under Curve of Solid of Revolution given Volume formula is defined as the total quantity of two dimensional space enclosed under the curve in a plane, which revolve around a fixed axis to form the Solid of Revolution, calculated using its volume and is represented as A_Curve = V/(2*pi*r_{Area Centroid}) or Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution). Volume of Solid of Revolution is the total quantity of three dimensional space enclosed by the entire surface of the Solid of Revolution & Radius at Area Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to area under the revolving curve to the axis of rotation of the Solid of Revolution.

How to calculate Area under Curve of Solid of Revolution given Volume?

Area under Curve of Solid of Revolution given Volume formula is defined as the total quantity of two dimensional space enclosed under the curve in a plane, which revolve around a fixed axis to form the Solid of Revolution, calculated using its volume is calculated using Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution). To calculate Area under Curve of Solid of Revolution given Volume, you need Volume of Solid of Revolution (V) & Radius at Area Centroid of Solid of Revolution (r_{Area Centroid}). With our tool, you need to enter the respective value for Volume of Solid of Revolution & Radius at Area Centroid of Solid of Revolution 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 Area under Curve Solid of Revolution?

In this formula, Area under Curve Solid of Revolution uses Volume of Solid of Revolution & Radius at Area Centroid of Solid of Revolution. We can use 1 other way(s) to calculate the same, which is/are as follows -

Area under Curve Solid of Revolution = (Lateral Surface Area of Solid of Revolution+(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi))/(2*pi*Radius at Area Centroid of Solid of Revolution*Surface to Volume Ratio of Solid of Revolution)

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