Total Surface Area of Cone Calculator

✖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.ⓘ Base Radius of Cone [r_Base]			+10% -10%
✖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.ⓘ Slant Height of Cone [h_Slant]			+10% -10%

✖Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.ⓘ Total Surface Area of Cone [TSA]

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Formula

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Total Surface Area of Cone

Formula

`"TSA" = pi*"r"_{"Base"}*("r"_{"Base"}+"h"_{"Slant"})`

Example

`"659.7345m²"=pi*"10m"*("10m"+"11m")`

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Total Surface Area of Cone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone)
TSA = pi*r_Base*(r_Base+h_Slant)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Surface Area of Cone - (Measured in Square Meter) - Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.
Base Radius of Cone - (Measured in Meter) - 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.
Slant Height of Cone - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Base Radius of Cone: 10 Meter --> 10 Meter No Conversion Required
Slant Height of Cone: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = pi*r_Base*(r_Base+h_Slant) --> pi*10*(10+11)

Evaluating ... ...

TSA = 659.734457253857

STEP 3: Convert Result to Output's Unit

659.734457253857 Square Meter --> No Conversion Required

FINAL ANSWER

659.734457253857 ≈ 659.7345 Square Meter <-- Total Surface Area of Cone

(Calculation completed in 00.004 seconds)

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Credits

Created by Aagam Bakliwal

College of Engineering, Pune (COEP), India

Aagam Bakliwal has created this Calculator and 4 more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< 14 Total Surface Area of Cone Calculators

Total Surface Area of Cone given Volume and Height

Go Total Surface Area of Cone = (3*Volume of Cone)/Height of Cone+pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)*(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone)))

Total Surface Area of Cone given Volume and Base Circumference

Go 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)

Total Surface Area of Cone given Volume

Go Total Surface Area of Cone = (3*Volume of Cone)/Height of Cone+pi*Base Radius of Cone*sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)

Total Surface Area of Cone given Volume and Base Area

Go Total Surface Area of Cone = Base Area of Cone+pi*sqrt(Base Area of Cone/pi*(((3*Volume of Cone)/Base Area of Cone)^2+Base Area of Cone/pi))

Total Surface Area of Cone given Height and Base Circumference

Go Total Surface Area of Cone = Base Circumference of Cone^2/(4*pi)+Base Circumference of Cone/2*sqrt(Height of Cone^2+(Base Circumference of Cone/(2*pi))^2)

Total Surface Area of Cone given Height and Base Area

Go Total Surface Area of Cone = Base Area of Cone+pi*sqrt(Base Area of Cone/pi*(Height of Cone^2+Base Area of Cone/pi))

Total Surface Area of Cone given Height

Go 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)

Total Surface Area of Cone given Slant Height and Base Area

Go Total Surface Area of Cone = (sqrt(pi*Base Area of Cone)*Slant Height of Cone)+Base Area of Cone

Total Surface Area of Cone given Slant Height and Base Circumference

Go Total Surface Area of Cone = (Base Circumference of Cone*Slant Height of Cone)/2+Base Circumference of Cone^2/(4*pi)

Total Surface Area of Cone

Go Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone)

Total Surface Area of Cone given Base Area

Go Total Surface Area of Cone = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone

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

Go Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi)

Total Surface Area of Cone given Lateral Surface Area

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

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

Go Total Surface Area of Cone = Lateral Surface Area of Cone+Base Area of Cone

< 11 Surface Area of Cone Calculators

Lateral Surface Area of Cone given Volume

Go Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)

Lateral Surface Area of Cone given Height

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

Lateral Surface Area of Cone given Base Area and Slant Height

Go Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi)*Slant Height of Cone

Total Surface Area of Cone

Go Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone)

Total Surface Area of Cone given Base Area

Go Total Surface Area of Cone = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone

Base Area of Cone given Lateral Surface Area and Slant Height

Go Base Area of Cone = pi*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2

Total Surface Area of Cone given Lateral Surface Area

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

Lateral Surface Area of Cone

Go Lateral Surface Area of Cone = pi*Base Radius of Cone*Slant Height of Cone

Lateral Surface Area of Cone given Base Circumference and Slant Height

Go Lateral Surface Area of Cone = Base Circumference of Cone/2*Slant Height of Cone

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

Go Total Surface Area of Cone = Lateral Surface Area of Cone+Base Area of Cone

Base Area of Cone

Go Base Area of Cone = pi*Base Radius of Cone^2

Total Surface Area of Cone Formula

Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone)
TSA = pi*r_Base*(r_Base+h_Slant)

What is a Cone?

A Cone is obtained by rotating a line inclined at a fixed acute angle from a fixed axis of rotation. The sharp tip is called the apex of the Cone. If the rotating line is crossing the axis of rotation, then the resulting shape is a double-napped Cone - two oppositely placed Cones joined on the apex. Cutting a Cone by a plane will result in some important two-dimensional shapes like circles, ellipses, parabolas, and hyperbolas, depending on the angle of cutting.

How to Calculate Total Surface Area of Cone?

Total Surface Area of Cone calculator uses Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone) to calculate the Total Surface Area of Cone, Total Surface Area of Cone formula is defined as the total quantity of plane enclosed on the entire surface of the Cone. Total Surface Area of Cone is denoted by TSA symbol.

How to calculate Total Surface Area of Cone using this online calculator? To use this online calculator for Total Surface Area of Cone, enter Base Radius of Cone (r_Base) & Slant Height of Cone (h_Slant) and hit the calculate button. Here is how the Total Surface Area of Cone calculation can be explained with given input values -> 659.7345 = pi*10*(10+11).

FAQ

What is Total Surface Area of Cone?

Total Surface Area of Cone formula is defined as the total quantity of plane enclosed on the entire surface of the Cone and is represented as TSA = pi*r_Base*(r_Base+h_Slant) or Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height 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 & 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.

How to calculate Total Surface Area of Cone?

Total Surface Area of Cone formula is defined as the total quantity of plane enclosed on the entire surface of the Cone is calculated using Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone). To calculate Total Surface Area of Cone, you need Base Radius of Cone (r_Base) & Slant Height of Cone (h_Slant). With our tool, you need to enter the respective value for Base Radius of Cone & Slant Height of Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Cone?

In this formula, Total Surface Area of Cone uses Base Radius of Cone & Slant Height of Cone. We can use 16 other way(s) to calculate the same, which is/are as follows -

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*Slant Height of Cone)+Base Area of Cone
Total Surface Area of Cone = Lateral Surface Area of Cone+Base Area of Cone
Total Surface Area of Cone = (sqrt(pi*Base Area of Cone)*Slant Height of Cone)+Base Area of Cone
Total Surface Area of Cone = (Base Circumference of Cone*Slant Height of Cone)/2+Base Circumference of Cone^2/(4*pi)
Total Surface Area of Cone = (3*Volume of Cone)/Height of Cone+pi*Base Radius of Cone*sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)
Total Surface Area of Cone = (3*Volume of Cone)/Height of Cone+pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)*(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone)))
Total Surface Area of Cone = Base Area of Cone+pi*sqrt(Base Area of Cone/pi*(((3*Volume of Cone)/Base Area of Cone)^2+Base Area of Cone/pi))
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)
Total Surface Area of Cone = Base Area of Cone+pi*sqrt(Base Area of Cone/pi*(Height of Cone^2+Base Area of Cone/pi))
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)
Total Surface Area of Cone = Base Circumference of Cone^2/(4*pi)+Base Circumference of Cone/2*sqrt(Height of Cone^2+(Base Circumference of Cone/(2*pi))^2)
Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi)
Total Surface Area of Cone = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone
Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2)
Total Surface Area of Cone = Lateral Surface Area of Cone+Base Area of Cone

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