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Total Surface Area of Cone given Height 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 = π \cdot {r Base}^{2} + π \cdot r Base \cdot \sqrt{h^{2} + {r Base}^{2}}

TSA - Total Surface Area of Cone?r_Base - Base Radius of Cone?h - Height of Cone?π - Archimedes' constant?

Total Surface Area of Cone given Height Example

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Here is how the Total Surface Area of Cone given Height equation looks like with Values.

Here is how the Total Surface Area of Cone given Height equation looks like with Units.

Here is how the Total Surface Area of Cone given Height equation looks like.

665.4 = 3.1416 \cdot 10^{2} + 3.1416 \cdot 10 \cdot \sqrt{5^{2} + 10^{2}}

665.4m² = 3.1416 \cdot {10m}^{2} + 3.1416 \cdot 10m \cdot \sqrt{{5m}^{2} + {10m}^{2}}

665.4 = 3.1416 \cdot 10^{2} + 3.1416 \cdot 10 \cdot \sqrt{5^{2} + 10^{2}}

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Total Surface Area of Cone given Height Solution

Follow our step by step solution on how to calculate Total Surface Area of Cone given Height?

FIRST Step Consider the formula

TSA = π \cdot {r Base}^{2} + π \cdot r Base \cdot \sqrt{h^{2} + {r Base}^{2}}

Next Step Substitute values of Variables

∴

TSA = π \cdot {10m}^{2} + π \cdot 10m \cdot \sqrt{{5m}^{2} + {10m}^{2}}

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot {10m}^{2} + 3.1416 \cdot 10m \cdot \sqrt{{5m}^{2} + {10m}^{2}}

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot 10^{2} + 3.1416 \cdot 10 \cdot \sqrt{5^{2} + 10^{2}}

Next Step Evaluate

∴

TSA = 665.400001911016m²

LAST Step Rounding Answer

∴

TSA = 665.4m²

Total Surface Area of Cone given Height 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 Radius of Cone

Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Cone

Height of Cone

Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height?

Total Surface Area of Cone given Height evaluator uses Total Surface Area of Cone = pi*Base Radius of Cone^2+pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2) to evaluate the Total Surface Area of Cone, The Total Surface Area of Cone given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the height of the Cone. Total Surface Area of Cone is denoted by TSA symbol.

How to evaluate Total Surface Area of Cone given Height using this online evaluator? To use this online evaluator for Total Surface Area of Cone given Height, enter Base Radius of Cone (r_Base) & Height of Cone (h) and hit the calculate button.

FAQs on Total Surface Area of Cone given Height

What is the formula to find Total Surface Area of Cone given Height?

The formula of Total Surface Area of Cone given Height is expressed as Total Surface Area of Cone = pi*Base Radius of Cone^2+pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2). Here is an example- 665.4 = pi*10^2+pi*10*sqrt(5^2+10^2).

How to calculate Total Surface Area of Cone given Height?

With Base Radius of Cone (r_Base) & Height of Cone (h) we can find Total Surface Area of Cone given Height using the formula - Total Surface Area of Cone = pi*Base Radius of Cone^2+pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2). This formula also uses Archimedes' constant and Square Root Function 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 Height be negative?

No, the Total Surface Area of Cone given Height, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Cone given Height?

Total Surface Area of Cone given Height 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 Height can be measured.

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Total Surface Area of Cone given Height Formula

​GoTotal Surface Area of Cone given Lateral Surface Area Formula

​GoTotal Surface Area of Cone Formula

Total Surface Area of Cone given Height Example

Total Surface Area of Cone given Height Solution

Total Surface Area of Cone given Height Formula Elements

Other Formulas to find Total Surface Area of Cone

How to Evaluate Total Surface Area of Cone given Height?

FAQs on Total Surface Area of Cone given Height

Variable Name

GoTotal Surface Area of Cone given Lateral Surface Area Formula

GoTotal Surface Area of Cone Formula