Base Area of Cone given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Area of Cone = (3*Volume of Cone)/Height of Cone
ABase = (3*V)/h
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.
Volume of Cone - (Measured in Cubic Meter) - Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone.
Height of Cone - (Measured in Meter) - Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.
STEP 1: Convert Input(s) to Base Unit
Volume of Cone: 520 Cubic Meter --> 520 Cubic Meter No Conversion Required
Height of Cone: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ABase = (3*V)/h --> (3*520)/5
Evaluating ... ...
ABase = 312
STEP 3: Convert Result to Output's Unit
312 Square Meter --> No Conversion Required
FINAL ANSWER
312 Square Meter <-- Base Area of Cone
(Calculation completed in 00.004 seconds)

Credits

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 Volume Formula

Base Area of Cone = (3*Volume of Cone)/Height of Cone
ABase = (3*V)/h

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 Volume?

Base Area of Cone given Volume calculator uses Base Area of Cone = (3*Volume of Cone)/Height of Cone to calculate the Base Area of Cone, The Base Area of Cone given Volume formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the volume of the Cone. Base Area of Cone is denoted by ABase symbol.

How to calculate Base Area of Cone given Volume using this online calculator? To use this online calculator for Base Area of Cone given Volume, enter Volume of Cone (V) & Height of Cone (h) and hit the calculate button. Here is how the Base Area of Cone given Volume calculation can be explained with given input values -> 312 = (3*520)/5.

FAQ

What is Base Area of Cone given Volume?
The Base Area of Cone given Volume formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the volume of the Cone and is represented as ABase = (3*V)/h or Base Area of Cone = (3*Volume of Cone)/Height of Cone. Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone & Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.
How to calculate Base Area of Cone given Volume?
The Base Area of Cone given Volume formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the volume of the Cone is calculated using Base Area of Cone = (3*Volume of Cone)/Height of Cone. To calculate Base Area of Cone given Volume, you need Volume of Cone (V) & Height of Cone (h). With our tool, you need to enter the respective value for Volume of Cone & 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 Base Area of Cone?
In this formula, Base Area of Cone uses Volume of Cone & Height 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 = pi/4*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)^2
  • Base Area of Cone = Total Surface Area of Cone-Lateral Surface Area of Cone
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