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Total Surface Area of Cone given Volume 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 = \frac{{C Base}^{2}}{4 \cdot π} + \frac{C Base}{2} \cdot \sqrt{{(\frac{3 \cdot V}{\frac{{C Base}^{2}}{4 \cdot π}})}^{2} + {(\frac{C Base}{2 \cdot π})}^{2}}

TSA - Total Surface Area of Cone?C_Base - Base Circumference of Cone?V - Volume of Cone?π - Archimedes' constant?

Total Surface Area of Cone given Volume and Base Circumference Example

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

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

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

616.263 = \frac{60^{2}}{4 \cdot 3.1416} + \frac{60}{2} \cdot \sqrt{{(\frac{3 \cdot 520}{\frac{60^{2}}{4 \cdot 3.1416}})}^{2} + {(\frac{60}{2 \cdot 3.1416})}^{2}}

616.263m² = \frac{{60m}^{2}}{4 \cdot 3.1416} + \frac{60m}{2} \cdot \sqrt{{(\frac{3 \cdot 520m³}{\frac{{60m}^{2}}{4 \cdot 3.1416}})}^{2} + {(\frac{60m}{2 \cdot 3.1416})}^{2}}

616.263 = \frac{60^{2}}{4 \cdot 3.1416} + \frac{60}{2} \cdot \sqrt{{(\frac{3 \cdot 520}{\frac{60^{2}}{4 \cdot 3.1416}})}^{2} + {(\frac{60}{2 \cdot 3.1416})}^{2}}

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Total Surface Area of Cone given Volume and Base Circumference Solution

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

FIRST Step Consider the formula

TSA = \frac{{C Base}^{2}}{4 \cdot π} + \frac{C Base}{2} \cdot \sqrt{{(\frac{3 \cdot V}{\frac{{C Base}^{2}}{4 \cdot π}})}^{2} + {(\frac{C Base}{2 \cdot π})}^{2}}

Next Step Substitute values of Variables

∴

TSA = \frac{{60m}^{2}}{4 \cdot π} + \frac{60m}{2} \cdot \sqrt{{(\frac{3 \cdot 520m³}{\frac{{60m}^{2}}{4 \cdot π}})}^{2} + {(\frac{60m}{2 \cdot π})}^{2}}

Next Step Substitute values of Constants

∴

TSA = \frac{{60m}^{2}}{4 \cdot 3.1416} + \frac{60m}{2} \cdot \sqrt{{(\frac{3 \cdot 520m³}{\frac{{60m}^{2}}{4 \cdot 3.1416}})}^{2} + {(\frac{60m}{2 \cdot 3.1416})}^{2}}

Next Step Prepare to Evaluate

∴

TSA = \frac{60^{2}}{4 \cdot 3.1416} + \frac{60}{2} \cdot \sqrt{{(\frac{3 \cdot 520}{\frac{60^{2}}{4 \cdot 3.1416}})}^{2} + {(\frac{60}{2 \cdot 3.1416})}^{2}}

Next Step Evaluate

∴

TSA = 616.263022487821m²

LAST Step Rounding Answer

∴

TSA = 616.263m²

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

Variables

Constants

Functions

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

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

Volume of Cone

Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Volume and Base Circumference?

Total Surface Area of Cone given Volume and Base Circumference evaluator uses Total Surface Area of Cone = (Base Circumference of Cone^2)/(4*pi)+Base Circumference of Cone/2*sqrt(((3*Volume of Cone)/(Base Circumference of Cone^2/(4*pi)))^2+(Base Circumference of Cone/(2*pi))^2) to evaluate the Total Surface Area of Cone, The Total Surface Area of Cone given Volume and Base Circumference formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the volume 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 Volume and Base Circumference using this online evaluator? To use this online evaluator for Total Surface Area of Cone given Volume and Base Circumference, enter Base Circumference of Cone (C_Base) & Volume of Cone (V) and hit the calculate button.

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

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

The formula of Total Surface Area of Cone given Volume and Base Circumference is expressed as Total Surface Area of Cone = (Base Circumference of Cone^2)/(4*pi)+Base Circumference of Cone/2*sqrt(((3*Volume of Cone)/(Base Circumference of Cone^2/(4*pi)))^2+(Base Circumference of Cone/(2*pi))^2). Here is an example- 616.263 = (60^2)/(4*pi)+60/2*sqrt(((3*520)/(60^2/(4*pi)))^2+(60/(2*pi))^2).

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

With Base Circumference of Cone (C_Base) & Volume of Cone (V) we can find Total Surface Area of Cone given Volume and Base Circumference using the formula - Total Surface Area of Cone = (Base Circumference of Cone^2)/(4*pi)+Base Circumference of Cone/2*sqrt(((3*Volume of Cone)/(Base Circumference of Cone^2/(4*pi)))^2+(Base Circumference of Cone/(2*pi))^2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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 Volume and Base Circumference be negative?

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

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

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

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

Total Surface Area of Cone given Volume and Base Circumference Solution

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

Other Formulas to find Total Surface Area of Cone

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

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

Variable Name

GoTotal Surface Area of Cone given Lateral Surface Area Formula

GoTotal Surface Area of Cone Formula