Volume of a Cone Calculator
Use this volume of a Cone calculator to easily and quickly calculate the volume of a cone from its base radius and height in any metric .
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About the Volum of a Cone
We will understand the volume of a cone. Do you know what a cone is? A cone is a triangular shape in which a line is drawn from the top to the base, which is, called the height. The base means the point on which any object stands is called the base. The line that meets the base from the top is called the height. The two lines that meet at an angle from the bottom to the top are called the slant height, which is, denoted by L. And the line that meets the circle from the center is called the radius. The slant height is given. And we have to find its volume. Let us take an example. The height is 7 cm, and the radius is 6 cm. The height is given. There are formulas to find the volume. Volume = 1/3 π r² h.
We have given this example in the picture above with a formula and calculation. We will calculate the volume based on our formula. We have been given a radius of 6 cm and a height of 7 cm. So here, according to the formula, if it is 1/3, then we will write 1/3. In multiplication, if we have π, the value of π is 22/7. You have to remember it. We write the value of π as 22/7, and then in multiplication, if r², the value of r is our radius of 6 cm. So we will 6², and then here is h. So the value of h times ours is 7 cm. So we will write 7. here. We have to understand here. If it is 1/3, we must multiply it by one by three. If it is 22/7, then we have to multiply it by 22/7, so we have to multiply it by 6 to the power of 2, which means if we square it, then 6 × 6 will become 36. And if it is multiplied by 7, then we will write 7 in the multiplication. After counting, it will be 22 × 12 = 264, and if it is volume, then it will be cubic centimeters. That is, the unit of volume is the cubic. The answer will be 264 cubic centimeters.
Volume of a Cone Calculation Formula
Here, we will learn about the volume of a cone. We have given a formula below to calculate the volume of a cone. The formula for finding the volume ( ) of a cone is given by -
- is the radius of the base of the cone,
- is the height of the cone, and
- is a mathematical constant approximately equal to 3.14159.
Volume of a Cone Calculation example
To calculate the volume of a cone, we need a formula, Which we have given above. Now we will calculate the volume of the cone based on this formula. For this, we need two measurements. The first is the measurement of height, and the second is the measurement of radius. If the radius (r) is given as 50 cm and the height (h) is given as 100 cm, you can substitute these values into the formula:
Now, calculate the volume:
.
So, the volume of a cone with a base radius of 50 and a height of 100 is approximately .Frequently Asked Questions (FAQ)
1. Which units should I enter into the Volume of a Cone Calculator’s Volume field?
It can be any unit for height and radius, such as inches, feet, meters, or centimeters. Height and radius must be in the same unit first. The volume will thus be determined based on the value of whichever unit is selected that will eventually return results in cubic units.
2. With the diameter, how do I get the radius of a cone?
All you have to do to find the radius, is divide the diameter by two. That’s because the radius is roughly half of the diameter, so if the diameter is 10 cm long, the radius is 5 cm.
3. Is it possible to enter decimal numbers in the Volume of a Cone Calculator?
Indeed, the Cone Volume Calculator is flexible enough to allow the entry of both whole and decimal numbers, even where some of the measurements are rather complicated, thus guaranteeing a reliable outcome.
4. If I know the slant height of the cone, how would I find its volume if I don’t have the vertical height?
As is the case with the slant height, the volume of a cone cannot be calculated from that value. If you have the slant height as well as the radius of the base, the application of the Pythagorean theorem will do the trick to find the vertical height. After that, you can immediately fill in the vertical height on the cone volume calculator.
5. Why does the volume of a cone equal one-third of the cylinder’s volume?
A cone is one-third the volume of a cylinder due to its shape. A cone having height and base with equal dimensions occupies less space than a cylinder that tapers down into a point cone.
6. Can the Volume of a Cone Calculator accommodate a frustum or truncated cone?
No, this Volume of a Cone Calculator applies only to regular right circular cones. The volume of a truncated cone would require another formula that knows both the top and bottom radii.
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