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

STEP 0: Pre-Calculation Summary
Formula Used
Base Area of Cone = Total Surface Area of Cone-Lateral Surface Area of Cone
ABase = TSA-LSA
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Cone: 665 Square Meter --> 665 Square Meter No Conversion Required
Lateral Surface Area of Cone: 350 Square Meter --> 350 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ABase = TSA-LSA --> 665-350
Evaluating ... ...
ABase = 315
STEP 3: Convert Result to Output's Unit
315 Square Meter --> No Conversion Required
FINAL ANSWER
315 Square Meter <-- Base Area of Cone
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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7 Base Area of Cone Calculators

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

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

Base Area of Cone = Total Surface Area of Cone-Lateral Surface Area of Cone
ABase = TSA-LSA

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

Base Area of Cone given Total Surface Area and Lateral Surface Area calculator uses Base Area of Cone = Total Surface Area of Cone-Lateral Surface Area of Cone to calculate the Base Area of Cone, The Base Area of Cone given Total Surface Area and Lateral Surface Area formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the total surface area and lateral surface area of the Cone. Base Area of Cone is denoted by ABase symbol.

How to calculate Base Area of Cone given Total Surface Area and Lateral Surface Area using this online calculator? To use this online calculator for Base Area of Cone given Total Surface Area and Lateral Surface Area, enter Total Surface Area of Cone (TSA) & Lateral Surface Area of Cone (LSA) and hit the calculate button. Here is how the Base Area of Cone given Total Surface Area and Lateral Surface Area calculation can be explained with given input values -> 315 = 665-350.

FAQ

What is Base Area of Cone given Total Surface Area and Lateral Surface Area?
The Base Area of Cone given Total Surface Area and Lateral Surface Area formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the total surface area and lateral surface area of the Cone and is represented as ABase = TSA-LSA or Base Area of Cone = Total Surface Area of Cone-Lateral 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 & Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.
How to calculate Base Area of Cone given Total Surface Area and Lateral Surface Area?
The Base Area of Cone given Total Surface Area and Lateral Surface Area formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the total surface area and lateral surface area of the Cone is calculated using Base Area of Cone = Total Surface Area of Cone-Lateral Surface Area of Cone. To calculate Base Area of Cone given Total Surface Area and Lateral Surface Area, you need Total Surface Area of Cone (TSA) & Lateral Surface Area of Cone (LSA). With our tool, you need to enter the respective value for Total Surface Area of Cone & Lateral Surface 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 Base Area of Cone?
In this formula, Base Area of Cone uses Total Surface Area of Cone & Lateral Surface Area of Cone. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Base Area of Cone = pi*Base Radius of Cone^2
  • Base Area of Cone = (Base Circumference of Cone^2)/(4*pi)
  • Base Area of Cone = pi*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2
  • Base Area of Cone = pi*(Slant Height of Cone^2-Height of Cone^2)
  • Base Area of Cone = (3*Volume of Cone)/Height of Cone
  • Base Area of Cone = pi/4*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)^2
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