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

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi)
TSA = LSA+CBase^2/(4*pi)
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 Circumference of Cone - (Measured in Meter) - Base Circumference of Cone is the total length of the boundary 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 Circumference of Cone: 60 Meter --> 60 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = LSA+CBase^2/(4*pi) --> 350+60^2/(4*pi)
Evaluating ... ...
TSA = 636.478897565412
STEP 3: Convert Result to Output's Unit
636.478897565412 Square Meter --> No Conversion Required
FINAL ANSWER
636.478897565412 636.4789 Square Meter <-- Total Surface Area of Cone
(Calculation completed in 00.021 seconds)

Credits

Creator Image
Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 1100+ more calculators!
Verifier Image
Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

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

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

​LaTeX ​Go
Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi)
TSA = LSA+CBase^2/(4*pi)

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 and Base Circumference?

Total Surface Area of Cone given Lateral Surface Area and Base Circumference calculator uses Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi) to calculate the Total Surface Area of Cone, The Total Surface Area of Cone given Lateral Surface Area and Base Circumference formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area and base circumference 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 and Base Circumference using this online calculator? To use this online calculator for Total Surface Area of Cone given Lateral Surface Area and Base Circumference, enter Lateral Surface Area of Cone (LSA) & Base Circumference of Cone (CBase) and hit the calculate button. Here is how the Total Surface Area of Cone given Lateral Surface Area and Base Circumference calculation can be explained with given input values -> 636.4789 = 350+60^2/(4*pi).

FAQ

What is Total Surface Area of Cone given Lateral Surface Area and Base Circumference?
The Total Surface Area of Cone given Lateral Surface Area and Base Circumference formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area and base circumference of the Cone and is represented as TSA = LSA+CBase^2/(4*pi) or Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi). Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone & Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.
How to calculate Total Surface Area of Cone given Lateral Surface Area and Base Circumference?
The Total Surface Area of Cone given Lateral Surface Area and Base Circumference formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area and base circumference of the Cone is calculated using Total Surface Area of Cone = Lateral Surface Area of Cone+Base Circumference of Cone^2/(4*pi). To calculate Total Surface Area of Cone given Lateral Surface Area and Base Circumference, you need Lateral Surface Area of Cone (LSA) & Base Circumference of Cone (CBase). With our tool, you need to enter the respective value for Lateral Surface Area of Cone & Base Circumference 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 Circumference 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 = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!