Total Surface Area of Cone given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2)
TSA = LSA+(pi*rBase^2)
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.
Lateral Surface Area of Cone - (Measured in Square Meter) - Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved 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.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cone: 350 Square Meter --> 350 Square Meter No Conversion Required
Base Radius of Cone: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = LSA+(pi*rBase^2) --> 350+(pi*10^2)
Evaluating ... ...
TSA = 664.159265358979
STEP 3: Convert Result to Output's Unit
664.159265358979 Square Meter --> No Conversion Required
FINAL ANSWER
664.159265358979 664.1593 Square Meter <-- Total Surface Area of Cone
(Calculation completed in 00.020 seconds)

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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 given Lateral Surface Area Formula

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

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 Lateral Surface Area?

Total Surface Area of Cone given Lateral Surface Area calculator uses Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2) to calculate the Total Surface Area of Cone, Total Surface Area of Cone given Lateral Surface Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area of the Cone. Total Surface Area of Cone is denoted by TSA symbol.

How to calculate Total Surface Area of Cone given Lateral Surface Area using this online calculator? To use this online calculator for Total Surface Area of Cone given Lateral Surface Area, enter Lateral Surface Area of Cone (LSA) & Base Radius of Cone (rBase) and hit the calculate button. Here is how the Total Surface Area of Cone given Lateral Surface Area calculation can be explained with given input values -> 664.1593 = 350+(pi*10^2).

FAQ

What is Total Surface Area of Cone given Lateral Surface Area?
Total Surface Area of Cone given Lateral Surface Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area of the Cone and is represented as TSA = LSA+(pi*rBase^2) or Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2). Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the 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.
How to calculate Total Surface Area of Cone given Lateral Surface Area?
Total Surface Area of Cone given Lateral Surface Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area of the Cone is calculated using Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2). To calculate Total Surface Area of Cone given Lateral Surface Area, you need Lateral Surface Area of Cone (LSA) & Base Radius of Cone (rBase). With our tool, you need to enter the respective value for Lateral Surface Area of Cone & Base Radius 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 Lateral Surface Area of Cone & Base Radius of Cone. We can use 16 other way(s) to calculate the same, which is/are as follows -
  • 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
  • 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*(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
  • Total Surface Area of Cone = Lateral Surface Area of Cone+Base Area of Cone
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