Surface to Volume Ratio of Solid of Revolution Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution)
RA/V = (LSA+(((rTop+rBottom)^2)*pi))/(2*pi*ACurve*rArea Centroid)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Surface to Volume Ratio of Solid of Revolution - (Measured in 1 per Meter) - Surface to Volume Ratio of Solid of Revolution is defined as the fraction of surface area to volume of Solid of Revolution.
Lateral Surface Area of Solid of Revolution - (Measured in Square Meter) - Lateral Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution.
Top Radius of Solid of Revolution - (Measured in Meter) - Top Radius of Solid of Revolution is the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution.
Bottom Radius of Solid of Revolution - (Measured in Meter) - Bottom Radius of Solid of Revolution is the horizontal distance from the bottom end point of the revolving curve to the axis of rotation 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.
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
Lateral Surface Area of Solid of Revolution: 2360 Square Meter --> 2360 Square Meter No Conversion Required
Top Radius of Solid of Revolution: 10 Meter --> 10 Meter No Conversion Required
Bottom Radius of Solid of Revolution: 20 Meter --> 20 Meter No Conversion Required
Area under Curve Solid of Revolution: 50 Square Meter --> 50 Square 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
RA/V = (LSA+(((rTop+rBottom)^2)*pi))/(2*pi*ACurve*rArea Centroid) --> (2360+(((10+20)^2)*pi))/(2*pi*50*12)
Evaluating ... ...
RA/V = 1.37600944282812
STEP 3: Convert Result to Output's Unit
1.37600944282812 1 per Meter --> No Conversion Required
FINAL ANSWER
1.37600944282812 1.376009 1 per Meter <-- Surface to Volume Ratio of Solid of Revolution
(Calculation completed in 00.008 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Surface to Volume Ratio of Solid of Revolution Calculators

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

Surface to Volume Ratio of Solid of Revolution Formula

​LaTeX ​Go
Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution)
RA/V = (LSA+(((rTop+rBottom)^2)*pi))/(2*pi*ACurve*rArea Centroid)

What is Solid of Revolution?

In mathematics, engineering, and manufacturing, a solid of revolution is a solid figure obtained by rotating a plane curve around some straight line that lies on the same plane.

How to Calculate Surface to Volume Ratio of Solid of Revolution?

Surface to Volume Ratio of Solid of Revolution calculator uses Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution) to calculate the Surface to Volume Ratio of Solid of Revolution, Surface to Volume Ratio of Solid of Revolution formula is defined as the fraction of surface area to volume of Solid of Revolution. Surface to Volume Ratio of Solid of Revolution is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Solid of Revolution using this online calculator? To use this online calculator for Surface to Volume Ratio of Solid of Revolution, enter Lateral Surface Area of Solid of Revolution (LSA), Top Radius of Solid of Revolution (rTop), Bottom Radius of Solid of Revolution (rBottom), Area under Curve Solid of Revolution (ACurve) & Radius at Area Centroid of Solid of Revolution (rArea Centroid) and hit the calculate button. Here is how the Surface to Volume Ratio of Solid of Revolution calculation can be explained with given input values -> 1.376009 = (2360+(((10+20)^2)*pi))/(2*pi*50*12).

FAQ

What is Surface to Volume Ratio of Solid of Revolution?
Surface to Volume Ratio of Solid of Revolution formula is defined as the fraction of surface area to volume of Solid of Revolution and is represented as RA/V = (LSA+(((rTop+rBottom)^2)*pi))/(2*pi*ACurve*rArea Centroid) or Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution). Lateral Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution, Top Radius of Solid of Revolution is the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution, Bottom Radius of Solid of Revolution is the horizontal distance from the bottom end point of the revolving curve to the axis of rotation 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 & 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 Surface to Volume Ratio of Solid of Revolution?
Surface to Volume Ratio of Solid of Revolution formula is defined as the fraction of surface area to volume of Solid of Revolution is calculated using Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution). To calculate Surface to Volume Ratio of Solid of Revolution, you need Lateral Surface Area of Solid of Revolution (LSA), Top Radius of Solid of Revolution (rTop), Bottom Radius of Solid of Revolution (rBottom), Area under Curve Solid of Revolution (ACurve) & Radius at Area Centroid of Solid of Revolution (rArea Centroid). With our tool, you need to enter the respective value for Lateral Surface Area of Solid of Revolution, Top Radius of Solid of Revolution, Bottom Radius of Solid of Revolution, Area under Curve 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.
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