Lateral Surface Area of Solid of Revolution Calculator

✖Curve Length of Solid of Revolution is the length of the curve from top point to bottom point, which revolve around a fixed axis to form the Solid of Revolution.ⓘ Curve Length of Solid of Revolution [l_Curve]			+10% -10%
✖Radius at Curve Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to curve structure of revolving curve to the axis of rotation of Solid of Revolution.ⓘ Radius at Curve Centroid of Solid of Revolution [r_{Curve Centroid}]			+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 [LSA]

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Formula

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Lateral Surface Area of Solid of Revolution

Formula

`"LSA" = 2*pi*"l"_{"Curve"}*"r"_{"Curve Centroid"}`

Example

`"2356.194m²"=2*pi*"25m"*"15m"`

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Lateral Surface Area of Solid of Revolution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution
LSA = 2*pi*l_Curve*r_{Curve Centroid}
This formula uses 1 Constants, 3 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.
Curve Length of Solid of Revolution - (Measured in Meter) - Curve Length of Solid of Revolution is the length of the curve from top point to bottom point, which revolve around a fixed axis to form the Solid of Revolution.
Radius at Curve Centroid of Solid of Revolution - (Measured in Meter) - Radius at Curve Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to curve structure of revolving curve to the axis of rotation of Solid of Revolution.

STEP 1: Convert Input(s) to Base Unit

Curve Length of Solid of Revolution: 25 Meter --> 25 Meter No Conversion Required
Radius at Curve Centroid of Solid of Revolution: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = 2*pi*l_Curve*r_{Curve Centroid} --> 2*pi*25*15

Evaluating ... ...

LSA = 2356.19449019234

STEP 3: Convert Result to Output's Unit

2356.19449019234 Square Meter --> No Conversion Required

FINAL ANSWER

2356.19449019234 ≈ 2356.194 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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Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 3 Lateral Surface Area of Solid of Revolution Calculators

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

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

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

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 Formula

Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution
LSA = 2*pi*l_Curve*r_{Curve Centroid}

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?

Lateral Surface Area of Solid of Revolution calculator uses Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution to calculate the Lateral Surface Area of Solid of Revolution, Lateral Surface Area of Solid of Revolution formula is defined as the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution. Lateral Surface Area of Solid of Revolution is denoted by LSA symbol.

How to calculate Lateral Surface Area of Solid of Revolution using this online calculator? To use this online calculator for Lateral Surface Area of Solid of Revolution, enter Curve Length of Solid of Revolution (l_Curve) & Radius at Curve Centroid of Solid of Revolution (r_{Curve Centroid}) and hit the calculate button. Here is how the Lateral Surface Area of Solid of Revolution calculation can be explained with given input values -> 2356.194 = 2*pi*25*15.

FAQ

What is Lateral Surface Area of Solid of Revolution?

Lateral Surface Area of Solid of Revolution formula is defined as the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution and is represented as LSA = 2*pi*l_Curve*r_{Curve Centroid} or Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution. Curve Length of Solid of Revolution is the length of the curve from top point to bottom point, which revolve around a fixed axis to form the Solid of Revolution & Radius at Curve Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to curve structure of revolving curve to the axis of rotation of Solid of Revolution.

How to calculate Lateral Surface Area of Solid of Revolution?

Lateral Surface Area of Solid of Revolution formula is defined as the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution is calculated using Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution. To calculate Lateral Surface Area of Solid of Revolution, you need Curve Length of Solid of Revolution (l_Curve) & Radius at Curve Centroid of Solid of Revolution (r_{Curve Centroid}). With our tool, you need to enter the respective value for Curve Length of Solid of Revolution & Radius at Curve 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.

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 Curve Length of Solid of Revolution & Radius at Curve Centroid 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 = 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 = (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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