Radius at Area Centroid of Solid of Revolution 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%
✖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 Solid of Revolution [A_Curve]			+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}]

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Radius at Area Centroid of Solid of Revolution Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Solid of Revolution: 3800 Cubic Meter --> 3800 Cubic Meter No Conversion Required
Area under Curve Solid of Revolution: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{Area Centroid} = V/(2*pi*A_Curve) --> 3800/(2*pi*50)

Evaluating ... ...

r_{Area Centroid} = 12.095775674984

STEP 3: Convert Result to Output's Unit

12.095775674984 Meter --> No Conversion Required

FINAL ANSWER

12.095775674984 ≈ 12.09578 Meter <-- Radius at Area Centroid of Solid of Revolution

(Calculation completed in 00.004 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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< Radius at Area Centroid of Solid of Revolution Calculators

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio

LaTeX Go Radius at Area Centroid of 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*Area under Curve Solid of Revolution*Surface to Volume Ratio of Solid of Revolution)

Radius at Area Centroid of Solid of Revolution

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

Radius at Area Centroid of Solid of Revolution Formula

LaTeX Go

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

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 Radius at Area Centroid of Solid of Revolution?

Radius at Area Centroid of Solid of Revolution calculator uses Radius at Area Centroid of Solid of Revolution = Volume of Solid of Revolution/(2*pi*Area under Curve Solid of Revolution) to calculate the Radius at Area Centroid of Solid of Revolution, Radius at Area Centroid of Solid of Revolution formula is defined as 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 is denoted by r_{Area Centroid} symbol.

How to calculate Radius at Area Centroid of Solid of Revolution using this online calculator? To use this online calculator for Radius at Area Centroid of Solid of Revolution, enter Volume of Solid of Revolution (V) & Area under Curve Solid of Revolution (A_Curve) and hit the calculate button. Here is how the Radius at Area Centroid of Solid of Revolution calculation can be explained with given input values -> 12.09578 = 3800/(2*pi*50).

FAQ

What is Radius at Area Centroid of Solid of Revolution?

Radius at Area Centroid of Solid of Revolution formula is defined as 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 and is represented as r_{Area Centroid} = V/(2*pi*A_Curve) or Radius at Area Centroid of Solid of Revolution = Volume of Solid of Revolution/(2*pi*Area under Curve 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 & 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.

How to calculate Radius at Area Centroid of Solid of Revolution?

Radius at Area Centroid of Solid of Revolution formula is defined as 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 is calculated using Radius at Area Centroid of Solid of Revolution = Volume of Solid of Revolution/(2*pi*Area under Curve Solid of Revolution). To calculate Radius at Area Centroid of Solid of Revolution, you need Volume of Solid of Revolution (V) & Area under Curve Solid of Revolution (A_Curve). With our tool, you need to enter the respective value for Volume of Solid of Revolution & Area under Curve 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 Radius at Area Centroid of Solid of Revolution?

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

Radius at Area Centroid of 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*Area under Curve Solid of Revolution*Surface to Volume Ratio of Solid of Revolution)

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