Total Surface Area 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%

✖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]

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Formula

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Total Surface Area of Solid of Revolution

Formula

`"TSA" = "LSA"+((("r"_{"Top"}+"r"_{"Bottom"})^2)*pi)`

Example

`"5187.433m²"="2360m²"+((("10m"+"20m")^2)*pi)`

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Total Surface Area of Solid of Revolution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area 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)
TSA = LSA+(((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

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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = LSA+(((r_Top+r_Bottom)^2)*pi) --> 2360+(((10+20)^2)*pi)

Evaluating ... ...

TSA = 5187.43338823081

STEP 3: Convert Result to Output's Unit

5187.43338823081 Square Meter --> No Conversion Required

FINAL ANSWER

5187.43338823081 ≈ 5187.433 Square Meter <-- Total 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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< 1 Total Surface Area of Solid of Revolution Calculators

Total Surface Area of Solid of Revolution

Go Total Surface Area 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)

Total Surface Area of Solid of Revolution Formula

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 Total Surface Area of Solid of Revolution?

Total Surface Area of Solid of Revolution calculator uses Total Surface Area 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) to calculate the Total Surface Area of Solid of Revolution, Total Surface Area of Solid of Revolution formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution. Total Surface Area of Solid of Revolution is denoted by TSA symbol.

How to calculate Total Surface Area of Solid of Revolution using this online calculator? To use this online calculator for Total Surface Area 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) and hit the calculate button. Here is how the Total Surface Area of Solid of Revolution calculation can be explained with given input values -> 5187.433 = 2360+(((10+20)^2)*pi).

FAQ

What is Total Surface Area of Solid of Revolution?

Total Surface Area of Solid of Revolution formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution and is represented as TSA = LSA+(((r_Top+r_Bottom)^2)*pi) or Total Surface Area 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). 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.

How to calculate Total Surface Area of Solid of Revolution?

Total Surface Area of Solid of Revolution formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution is calculated using Total Surface Area 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). To calculate Total Surface Area 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). 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 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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