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Total Surface Area of Cone given Lateral Surface Area and Base Circumference Formula

GoTotal Surface Area of Cone given Lateral Surface Area Formula

GoTotal Surface Area of Cone Formula

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Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone. Check FAQs

TSA = LSA + \frac{{C Base}^{2}}{4 \cdot π}

TSA - Total Surface Area of Cone?LSA - Lateral Surface Area of Cone?C_Base - Base Circumference of Cone?π - Archimedes' constant?

Total Surface Area of Cone given Lateral Surface Area and Base Circumference Example

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Here is how the Total Surface Area of Cone given Lateral Surface Area and Base Circumference equation looks like with Values.

Here is how the Total Surface Area of Cone given Lateral Surface Area and Base Circumference equation looks like with Units.

Here is how the Total Surface Area of Cone given Lateral Surface Area and Base Circumference equation looks like.

636.4789 = 350 + \frac{60^{2}}{4 \cdot 3.1416}

636.4789m² = 350m² + \frac{{60m}^{2}}{4 \cdot 3.1416}

636.4789 = 350 + \frac{60^{2}}{4 \cdot 3.1416}

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Total Surface Area of Cone given Lateral Surface Area and Base Circumference Solution

Follow our step by step solution on how to calculate Total Surface Area of Cone given Lateral Surface Area and Base Circumference?

FIRST Step Consider the formula

TSA = LSA + \frac{{C Base}^{2}}{4 \cdot π}

Next Step Substitute values of Variables

∴

TSA = 350m² + \frac{{60m}^{2}}{4 \cdot π}

Next Step Substitute values of Constants

∴

TSA = 350m² + \frac{{60m}^{2}}{4 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

TSA = 350 + \frac{60^{2}}{4 \cdot 3.1416}

Next Step Evaluate

∴

TSA = 636.478897565412m²

LAST Step Rounding Answer

∴

TSA = 636.4789m²

Total Surface Area of Cone given Lateral Surface Area and Base Circumference Formula Elements

Variables

Constants

Total Surface Area of Cone

Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Cone

Lateral Surface Area of Cone

Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cone

Base Circumference of Cone

Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.

Symbol: C_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Circumference of Cone

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 Total Surface Area of Cone

Go Total Surface Area of Cone given Lateral Surface Area

TSA = LSA + (π \cdot {r Base}^{2})

Go Total Surface Area of Cone

TSA = π \cdot r Base \cdot (r Base + h Slant)

Go Total Surface Area of Cone given Base Area

TSA = (π \cdot r Base \cdot h Slant) + A Base

Go Total Surface Area of Cone given Lateral Surface Area and Base Area

TSA = LSA + A Base

How to Evaluate Total Surface Area of Cone given Lateral Surface Area and Base Circumference?

Total Surface Area of Cone given Lateral Surface Area and Base Circumference evaluator uses Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi) to evaluate the Total Surface Area of Cone, The Total Surface Area of Cone given Lateral Surface Area and Base Circumference formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area and base circumference of the Cone. Total Surface Area of Cone is denoted by TSA symbol.

How to evaluate Total Surface Area of Cone given Lateral Surface Area and Base Circumference using this online evaluator? To use this online evaluator for Total Surface Area of Cone given Lateral Surface Area and Base Circumference, enter Lateral Surface Area of Cone (LSA) & Base Circumference of Cone (C_Base) and hit the calculate button.

FAQs on Total Surface Area of Cone given Lateral Surface Area and Base Circumference

What is the formula to find Total Surface Area of Cone given Lateral Surface Area and Base Circumference?

The formula of Total Surface Area of Cone given Lateral Surface Area and Base Circumference is expressed as Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi). Here is an example- 636.4789 = 350+60^2/(4*pi).

How to calculate Total Surface Area of Cone given Lateral Surface Area and Base Circumference?

With Lateral Surface Area of Cone (LSA) & Base Circumference of Cone (C_Base) we can find Total Surface Area of Cone given Lateral Surface Area and Base Circumference using the formula - Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Cone?

Here are the different ways to Calculate Total Surface Area of Cone-

Total Surface Area of Cone=Lateral Surface Area of Cone+(pi*Base Radius of Cone^2)
Total Surface Area of Cone=pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone)
Total Surface Area of Cone=(pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone

Can the Total Surface Area of Cone given Lateral Surface Area and Base Circumference be negative?

No, the Total Surface Area of Cone given Lateral Surface Area and Base Circumference, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Cone given Lateral Surface Area and Base Circumference?

Total Surface Area of Cone given Lateral Surface Area and Base Circumference 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 Total Surface Area of Cone given Lateral Surface Area and Base Circumference can be measured.

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Total Surface Area of Cone given Lateral Surface Area and Base Circumference Formula

​GoTotal Surface Area of Cone given Lateral Surface Area Formula

​GoTotal Surface Area of Cone Formula

Total Surface Area of Cone given Lateral Surface Area and Base Circumference Example

Total Surface Area of Cone given Lateral Surface Area and Base Circumference Solution

Total Surface Area of Cone given Lateral Surface Area and Base Circumference Formula Elements

Other Formulas to find Total Surface Area of Cone

How to Evaluate Total Surface Area of Cone given Lateral Surface Area and Base Circumference?

FAQs on Total Surface Area of Cone given Lateral Surface Area and Base Circumference

Variable Name

GoTotal Surface Area of Cone given Lateral Surface Area Formula

GoTotal Surface Area of Cone Formula