Total Surface Area of Cone given Base Area 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%
✖Base Area of Cone is the total quantity of plane enclosed on the base circular surface of the Cone.ⓘ Base Area of Cone [A_Base]			+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 given Base Area [TSA]

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Total Surface Area of Cone given Base Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Cone = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone
TSA = (pi*r_Base*h_Slant)+A_Base
This formula uses 1 Constants, 4 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.
Base Area of Cone - (Measured in Square Meter) - Base Area of Cone is the total quantity of plane enclosed on the base circular surface 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
Base Area of Cone: 315 Square Meter --> 315 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (pi*r_Base*h_Slant)+A_Base --> (pi*10*11)+315

Evaluating ... ...

TSA = 660.575191894877

STEP 3: Convert Result to Output's Unit

660.575191894877 Square Meter --> No Conversion Required

FINAL ANSWER

660.575191894877 ≈ 660.5752 Square Meter <-- Total Surface Area of Cone

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Cone Calculators

Total Surface Area of Cone

LaTeX 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

LaTeX 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

LaTeX 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

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

< Surface Area of Cone Calculators

Lateral Surface Area of Cone given Height

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

Base Area of Cone given Lateral Surface Area and Slant Height

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

Lateral Surface Area of Cone

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

Base Area of Cone

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

Total Surface Area of Cone given Base Area Formula

LaTeX Go

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

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 given Base Area?

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

How to calculate Total Surface Area of Cone given Base Area using this online calculator? To use this online calculator for Total Surface Area of Cone given Base Area, enter Base Radius of Cone (r_Base), Slant Height of Cone (h_Slant) & Base Area of Cone (A_Base) and hit the calculate button. Here is how the Total Surface Area of Cone given Base Area calculation can be explained with given input values -> 660.5752 = (pi*10*11)+315.

FAQ

What is Total Surface Area of Cone given Base Area?

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

How to calculate Total Surface Area of Cone given Base Area?

Total Surface Area of Cone given Base Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the base area of the Cone is calculated using Total Surface Area of Cone = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone. To calculate Total Surface Area of Cone given Base Area, you need Base Radius of Cone (r_Base), Slant Height of Cone (h_Slant) & Base Area of Cone (A_Base). With our tool, you need to enter the respective value for Base Radius of Cone, Slant Height of Cone & Base Area 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 & Base Area of Cone. We can use 3 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*(Base Radius of Cone+Slant Height of Cone)
Total Surface Area of Cone = Lateral Surface Area of Cone+Base Area of Cone

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