Surface to Volume Ratio of Solid of Revolution Calculator

✖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.ⓘ Lateral Surface Area of Solid of Revolution [LSA]			+10% -10%
✖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.ⓘ Top Radius of Solid of Revolution [r_Top]			+10% -10%
✖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.ⓘ Bottom Radius of Solid of Revolution [r_Bottom]			+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}]			+10% -10%

✖Surface to Volume Ratio of Solid of Revolution is defined as the fraction of surface area to volume of Solid of Revolution.ⓘ Surface to Volume Ratio of Solid of Revolution [R_A/V]

⎘ Copy

👎

Formula

✖

Surface to Volume Ratio of Solid of Revolution

Formula

`"R"_{"A/V"} = ("LSA"+((("r"_{"Top"}+"r"_{"Bottom"})^2)*pi))/(2*pi*"A"_{"Curve"}*"r"_{"Area Centroid"})`

Example

`"1.376009m⁻¹"=("2360m²"+((("10m"+"20m")^2)*pi))/(2*pi*"50m²"*"12m")`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

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)
R_A/V = (LSA+(((r_Top+r_Bottom)^2)*pi))/(2*pi*A_Curve*r_{Area 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

R_A/V = (LSA+(((r_Top+r_Bottom)^2)*pi))/(2*pi*A_Curve*r_{Area Centroid}) --> (2360+(((10+20)^2)*pi))/(2*pi*50*12)

Evaluating ... ...

R_A/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 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Solid of Revolution » Surface to Volume Ratio of Solid of Revolution » Surface to Volume Ratio of Solid of Revolution

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 1 Surface to Volume Ratio of Solid of Revolution Calculators

Surface to Volume Ratio of Solid of Revolution

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

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 R_A/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 (r_Top), Bottom Radius of Solid of Revolution (r_Bottom), Area under Curve Solid of Revolution (A_Curve) & Radius at Area Centroid of Solid of Revolution (r_{Area 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 R_A/V = (LSA+(((r_Top+r_Bottom)^2)*pi))/(2*pi*A_Curve*r_{Area 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 (r_Top), Bottom Radius of Solid of Revolution (r_Bottom), Area under Curve Solid of Revolution (A_Curve) & Radius at Area Centroid of Solid of Revolution (r_{Area 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.

Home

FREE PDFs

🔍 Search