Lateral Surface Area of Solid of Revolution given Total Surface Area Calculator

✖Total Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution.ⓘ Total Surface Area of Solid of Revolution [TSA]			+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%

✖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 given Total Surface Area [LSA]

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Lateral Surface Area of Solid of Revolution given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Solid of Revolution = Total Surface Area of Solid of Revolution-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi)
LSA = TSA-(((r_Top+r_Bottom)^2)*pi)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Total Surface Area of Solid of Revolution - (Measured in Square Meter) - Total Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the entire 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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Solid of Revolution: 5200 Square Meter --> 5200 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = TSA-(((r_Top+r_Bottom)^2)*pi) --> 5200-(((10+20)^2)*pi)

Evaluating ... ...

LSA = 2372.56661176919

STEP 3: Convert Result to Output's Unit

2372.56661176919 Square Meter --> No Conversion Required

FINAL ANSWER

2372.56661176919 ≈ 2372.567 Square Meter <-- Lateral Surface Area 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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< Lateral Surface Area of Solid of Revolution Calculators

Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio

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

Lateral Surface Area of Solid of Revolution given Total Surface Area

LaTeX Go Lateral Surface Area of Solid of Revolution = Total Surface Area of Solid of Revolution-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi)

Lateral Surface Area of Solid of Revolution

LaTeX Go Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution

Lateral Surface Area of Solid of Revolution given Total Surface Area Formula

LaTeX Go

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 Lateral Surface Area of Solid of Revolution given Total Surface Area?

Lateral Surface Area of Solid of Revolution given Total Surface Area calculator uses Lateral Surface Area of Solid of Revolution = Total Surface Area of Solid of Revolution-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi) to calculate the Lateral Surface Area of Solid of Revolution, Lateral Surface Area of Solid of Revolution given Total Surface Area formula is defined as the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution, calculated using its total surface area. Lateral Surface Area of Solid of Revolution is denoted by LSA symbol.

How to calculate Lateral Surface Area of Solid of Revolution given Total Surface Area using this online calculator? To use this online calculator for Lateral Surface Area of Solid of Revolution given Total Surface Area, enter Total Surface Area of Solid of Revolution (TSA), Top Radius of Solid of Revolution (r_Top) & Bottom Radius of Solid of Revolution (r_Bottom) and hit the calculate button. Here is how the Lateral Surface Area of Solid of Revolution given Total Surface Area calculation can be explained with given input values -> 2372.567 = 5200-(((10+20)^2)*pi).

FAQ

What is Lateral Surface Area of Solid of Revolution given Total Surface Area?

Lateral Surface Area of Solid of Revolution given Total Surface Area formula is defined as the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution, calculated using its total surface area and is represented as LSA = TSA-(((r_Top+r_Bottom)^2)*pi) or Lateral Surface Area of Solid of Revolution = Total Surface Area of Solid of Revolution-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi). Total Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the entire 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.

How to calculate Lateral Surface Area of Solid of Revolution given Total Surface Area?

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

In this formula, Lateral Surface Area of Solid of Revolution uses Total Surface Area of Solid of Revolution, Top Radius of Solid of Revolution & Bottom Radius of Solid of Revolution. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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