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Lateral Surface Area of Solid of Revolution Formula

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

GoLateral Surface Area of Solid of Revolution given Surface to Volume Ratio Formula

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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. Check FAQs

LSA = 2 \cdot π \cdot l Curve \cdot r Curve Centroid

LSA - Lateral Surface Area of Solid of Revolution?l_Curve - Curve Length of Solid of Revolution?r_{Curve Centroid} - Radius at Curve Centroid of Solid of Revolution?π - Archimedes' constant?

Lateral Surface Area of Solid of Revolution Example

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Here is how the Lateral Surface Area of Solid of Revolution equation looks like with Values.

Here is how the Lateral Surface Area of Solid of Revolution equation looks like with Units.

Here is how the Lateral Surface Area of Solid of Revolution equation looks like.

2356.1945 = 2 \cdot 3.1416 \cdot 25 \cdot 15

2356.1945m² = 2 \cdot 3.1416 \cdot 25m \cdot 15m

2356.1945 = 2 \cdot 3.1416 \cdot 25 \cdot 15

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Lateral Surface Area of Solid of Revolution Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Solid of Revolution?

FIRST Step Consider the formula

LSA = 2 \cdot π \cdot l Curve \cdot r Curve Centroid

Next Step Substitute values of Variables

∴

LSA = 2 \cdot π \cdot 25m \cdot 15m

Next Step Substitute values of Constants

∴

LSA = 2 \cdot 3.1416 \cdot 25m \cdot 15m

Next Step Prepare to Evaluate

∴

LSA = 2 \cdot 3.1416 \cdot 25 \cdot 15

Next Step Evaluate

∴

LSA = 2356.19449019234m²

LAST Step Rounding Answer

∴

LSA = 2356.1945m²

Lateral Surface Area of Solid of Revolution Formula Elements

Variables

Constants

Lateral Surface Area 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.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Solid of Revolution

Curve Length 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.

Symbol: l_Curve

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Length of Solid of Revolution

Radius at Curve Centroid of 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.

Symbol: r_{Curve Centroid}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius at Curve Centroid of Solid of Revolution

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Lateral Surface Area of Solid of Revolution

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

LSA = TSA - (({(r Top + r Bottom)}^{2}) \cdot π)

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

LSA = (R A/V \cdot 2 \cdot π \cdot A Curve \cdot r Area Centroid) - (({(r Top + r Bottom)}^{2}) \cdot π)

How to Evaluate Lateral Surface Area of Solid of Revolution?

Lateral Surface Area of Solid of Revolution evaluator 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 evaluate 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 evaluate Lateral Surface Area of Solid of Revolution using this online evaluator? To use this online evaluator 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.

FAQs on Lateral Surface Area of Solid of Revolution

What is the formula to find Lateral Surface Area of Solid of Revolution?

The formula of Lateral Surface Area of Solid of Revolution is expressed as Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution. Here is an example- 2356.194 = 2*pi*25*15.

How to calculate Lateral Surface Area of Solid of Revolution?

With Curve Length of Solid of Revolution (l_Curve) & Radius at Curve Centroid of Solid of Revolution (r_{Curve Centroid}) we can find Lateral Surface Area of Solid of Revolution using the formula - Lateral Surface Area of Solid of Revolution = 2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of Revolution. This formula also uses Archimedes' constant .

What are the other ways to Calculate Lateral Surface Area of Solid of Revolution?

Here are the different ways to Calculate Lateral Surface Area of Solid of Revolution-

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)

Can the Lateral Surface Area of Solid of Revolution be negative?

No, the Lateral Surface Area of Solid of Revolution, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Solid of Revolution?

Lateral Surface Area of Solid of Revolution is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Solid of Revolution can be measured.

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Lateral Surface Area of Solid of Revolution Formula

​GoLateral Surface Area of Solid of Revolution given Total Surface Area Formula

​GoLateral Surface Area of Solid of Revolution given Surface to Volume Ratio Formula

Lateral Surface Area of Solid of Revolution Example

Lateral Surface Area of Solid of Revolution Solution

Lateral Surface Area of Solid of Revolution Formula Elements

Other Formulas to find Lateral Surface Area of Solid of Revolution

How to Evaluate Lateral Surface Area of Solid of Revolution?

FAQs on Lateral Surface Area of Solid of Revolution

Variable Name

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

GoLateral Surface Area of Solid of Revolution given Surface to Volume Ratio Formula