Volume of Cone given Base Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cone = (Base Area of Cone*Height of Cone)/3
V = (ABase*h)/3
This formula uses 3 Variables
Variables Used
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.
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.
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
Base Area of Cone: 315 Square Meter --> 315 Square Meter No Conversion Required
Height of Cone: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (ABase*h)/3 --> (315*5)/3
Evaluating ... ...
V = 525
STEP 3: Convert Result to Output's Unit
525 Cubic Meter --> No Conversion Required
FINAL ANSWER
525 Cubic Meter <-- Volume of Cone
(Calculation completed in 00.004 seconds)

Credits

Created by Aagam Bakliwal
College of Engineering, Pune (COEP), India
Aagam Bakliwal has created this Calculator and 4 more calculators!
Verified by Jaseem K
IIT Madras (IIT Madras), Chennai
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13 Volume of Cone Calculators

Volume of Cone given Total Surface Area and Base Circumference
Go Volume of Cone = (pi*(Base Circumference of Cone/(2*pi))^2*sqrt(((2*Total Surface Area of Cone)/Base Circumference of Cone-Base Circumference of Cone/(2*pi))^2-(Base Circumference of Cone/(2*pi))^2))/3
Volume of Cone given Total Surface Area and Base Area
Go Volume of Cone = (Base Area of Cone*sqrt((Total Surface Area of Cone/sqrt(pi*Base Area of Cone)-sqrt(Base Area of Cone/pi))^2-Base Area of Cone/pi))/3
Volume of Cone given Lateral Surface Area and Base Circumference
Go Volume of Cone = (pi*(Base Circumference of Cone/(2*pi))^2*sqrt(((2*Lateral Surface Area of Cone)/Base Circumference of Cone)^2-(Base Circumference of Cone/(2*pi))^2))/3
Volume of Cone given Total Surface Area
Go Volume of Cone = (pi*Base Radius of Cone^2*sqrt((Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone)^2-Base Radius of Cone^2))/3
Volume of Cone given Lateral Surface Area
Go Volume of Cone = (pi*Base Radius of Cone^2*sqrt((Lateral Surface Area of Cone/(pi*Base Radius of Cone))^2-Base Radius of Cone^2))/3
Volume of Cone given Lateral Surface Area and Base Area
Go Volume of Cone = (Base Area of Cone*sqrt(Lateral Surface Area of Cone^2/(pi*Base Area of Cone)-Base Area of Cone/pi))/3
Volume of Cone given Slant Height and Base Circumference
Go Volume of Cone = (Base Circumference of Cone^2*sqrt(Slant Height of Cone^2-(Base Circumference of Cone/(2*pi))^2))/(12*pi)
Volume of Cone given Slant Height
Go Volume of Cone = (pi*Base Radius of Cone^2*sqrt(Slant Height of Cone^2-Base Radius of Cone^2))/3
Volume of Cone given Slant Height and Base Area
Go Volume of Cone = (Base Area of Cone*sqrt(Slant Height of Cone^2-Base Area of Cone/pi))/3
Volume of Cone given Slant Height and Height
Go Volume of Cone = (pi*(Slant Height of Cone^2-Height of Cone^2)*Height of Cone)/3
Volume of Cone given Base Circumference
Go Volume of Cone = (Base Circumference of Cone^2*Height of Cone)/(12*pi)
Volume of Cone
Go Volume of Cone = (pi*Base Radius of Cone^2*Height of Cone)/3
Volume of Cone given Base Area
Go Volume of Cone = (Base Area of Cone*Height of Cone)/3

Volume of Cone given Base Area Formula

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

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 Volume of Cone given Base Area?

Volume of Cone given Base Area calculator uses Volume of Cone = (Base Area of Cone*Height of Cone)/3 to calculate the Volume of Cone, Volume of Cone given Base Area formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone, and calculated using the base area of the Cone. Volume of Cone is denoted by V symbol.

How to calculate Volume of Cone given Base Area using this online calculator? To use this online calculator for Volume of Cone given Base Area, enter Base Area of Cone (ABase) & Height of Cone (h) and hit the calculate button. Here is how the Volume of Cone given Base Area calculation can be explained with given input values -> 525 = (315*5)/3.

FAQ

What is Volume of Cone given Base Area?
Volume of Cone given Base Area formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone, and calculated using the base area of the Cone and is represented as V = (ABase*h)/3 or Volume of Cone = (Base Area of Cone*Height of Cone)/3. Base Area of Cone is the total quantity of plane enclosed on the base circular 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 Volume of Cone given Base Area?
Volume of Cone given Base Area formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone, and calculated using the base area of the Cone is calculated using Volume of Cone = (Base Area of Cone*Height of Cone)/3. To calculate Volume of Cone given Base Area, you need Base Area of Cone (ABase) & Height of Cone (h). With our tool, you need to enter the respective value for Base Area 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 Volume of Cone?
In this formula, Volume of Cone uses Base Area of Cone & Height of Cone. We can use 12 other way(s) to calculate the same, which is/are as follows -
  • Volume of Cone = (pi*Base Radius of Cone^2*Height of Cone)/3
  • Volume of Cone = (Base Circumference of Cone^2*Height of Cone)/(12*pi)
  • Volume of Cone = (pi*(Slant Height of Cone^2-Height of Cone^2)*Height of Cone)/3
  • Volume of Cone = (pi*Base Radius of Cone^2*sqrt(Slant Height of Cone^2-Base Radius of Cone^2))/3
  • Volume of Cone = (Base Area of Cone*sqrt(Slant Height of Cone^2-Base Area of Cone/pi))/3
  • Volume of Cone = (Base Circumference of Cone^2*sqrt(Slant Height of Cone^2-(Base Circumference of Cone/(2*pi))^2))/(12*pi)
  • Volume of Cone = (pi*Base Radius of Cone^2*sqrt((Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone)^2-Base Radius of Cone^2))/3
  • Volume of Cone = (Base Area of Cone*sqrt((Total Surface Area of Cone/sqrt(pi*Base Area of Cone)-sqrt(Base Area of Cone/pi))^2-Base Area of Cone/pi))/3
  • Volume of Cone = (pi*(Base Circumference of Cone/(2*pi))^2*sqrt(((2*Total Surface Area of Cone)/Base Circumference of Cone-Base Circumference of Cone/(2*pi))^2-(Base Circumference of Cone/(2*pi))^2))/3
  • Volume of Cone = (pi*Base Radius of Cone^2*sqrt((Lateral Surface Area of Cone/(pi*Base Radius of Cone))^2-Base Radius of Cone^2))/3
  • Volume of Cone = (Base Area of Cone*sqrt(Lateral Surface Area of Cone^2/(pi*Base Area of Cone)-Base Area of Cone/pi))/3
  • Volume of Cone = (pi*(Base Circumference of Cone/(2*pi))^2*sqrt(((2*Lateral Surface Area of Cone)/Base Circumference of Cone)^2-(Base Circumference of Cone/(2*pi))^2))/3
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