FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Surface Area of Cone given Slant Height and Base Circumference Formula

GoTotal Surface Area of Cone given Lateral Surface Area Formula

GoTotal Surface Area of Cone Formula

Fx Copy

LaTeX Copy

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 \cdot h Slant}{2} + \frac{{C Base}^{2}}{4 \cdot π}

TSA - Total Surface Area of Cone?C_Base - Base Circumference of Cone?h_Slant - Slant Height of Cone?π - Archimedes' constant?

Total Surface Area of Cone given Slant Height and Base Circumference Example

With values

With units

Only example

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

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

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

616.4789 = \frac{60 \cdot 11}{2} + \frac{60^{2}}{4 \cdot 3.1416}

616.4789m² = \frac{60m \cdot 11m}{2} + \frac{{60m}^{2}}{4 \cdot 3.1416}

616.4789 = \frac{60 \cdot 11}{2} + \frac{60^{2}}{4 \cdot 3.1416}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Total Surface Area of Cone given Slant Height and Base Circumference

Total Surface Area of Cone given Slant Height and Base Circumference Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{60m \cdot 11m}{2} + \frac{{60m}^{2}}{4 \cdot π}

Next Step Substitute values of Constants

∴

TSA = \frac{60m \cdot 11m}{2} + \frac{{60m}^{2}}{4 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

TSA = \frac{60 \cdot 11}{2} + \frac{60^{2}}{4 \cdot 3.1416}

Next Step Evaluate

∴

TSA = 616.478897565412m²

LAST Step Rounding Answer

∴

TSA = 616.4789m²

Total Surface Area of Cone given Slant Height 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

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

Slant Height of Cone

Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant 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

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 Slant Height and Base Circumference?

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

FAQs on Total Surface Area of Cone given Slant Height and Base Circumference

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

The formula of Total Surface Area of Cone given Slant Height and Base Circumference is expressed as Total Surface Area of Cone = (Base Circumference of Cone*Slant Height of Cone)/2+Base Circumference of Cone^2/(4*pi). Here is an example- 616.4789 = (60*11)/2+60^2/(4*pi).

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

With Base Circumference of Cone (C_Base) & Slant Height of Cone (h_Slant) we can find Total Surface Area of Cone given Slant Height and Base Circumference using the formula - Total Surface Area of Cone = (Base Circumference of Cone*Slant Height of Cone)/2+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 Slant Height and Base Circumference be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Total Surface Area of Cone given Slant Height 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 Slant Height and Base Circumference Example

Total Surface Area of Cone given Slant Height and Base Circumference Solution

Total Surface Area of Cone given Slant Height and Base Circumference Formula Elements

Other Formulas to find Total Surface Area of Cone

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

FAQs on Total Surface Area of Cone given Slant Height and Base Circumference

Variable Name

GoTotal Surface Area of Cone given Lateral Surface Area Formula

GoTotal Surface Area of Cone Formula