Volume of a Cylinder Calculator

Use this Volume of a Cylinder Calculator to easily calculate the volume of a cylinder from its base radius and height in any metric.

Select unit: Base Radius: Height:

Volume of a Cylinder Calculator

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About the Volum of a Cylinder

Here we are going to understand an important topic about cylinders. Let us know all the properties of a cylinder, what is the volume of a cylinder and their proofs well, in an easy method. What does a cylinder look like? You often use cylinders in your kitchen. Cylindrical-shaped glass is a completely round vessel, The bottom base is also round, that is, it is a circle, which means in the circular form or the height is in curved form and the top is also circular, which is a cylinder shape. The circle at the bottom obviously will have some radius, so what supports its radius is R. And the radius of the circle at the top is also R. The radius of both the circles will be the same, which means that the circle we are talking about is the circle of the circular base below, so the line that we have from the center to the border to the boundary line to the circumference is called the radius, so we have made the radius r and what is the overall total height of this cylinder that we support. So now let us understand the formula of the volume of cylinders.

Let’s talk about volume. What is volume? Base area in height. Now, base area means if I have a circular base, the base area of the circular base is π r². So fill the area of the base as π r². Height H means what will be the volume, π r²h.
Let’s see an example here, suppose we have a radius of 7 cm and height is also 7 cm and we are asked to find the volume, let’s see how the volume will be found.
We have to find the volume once. The formula for volume is π r²h. 22 / 7 × radius squared × height. And the height we have is also equal to 7. That means 22 × 49. If we multiply 22 × 49, we will get the volume. Now, if we multiply it, it becomes 1078. Our volume will be 1078 cubic centimeters.

Volume of a cylinder Calculation Formula

How do we calculate the volume of a cylinder here? A formula is needed to calculate this. And we have given that formula below. The formula for finding the volume ( $V$ ) of a cylinder is given by:

$� = � �^{2} ℎ$

$�$ is the radius of the base of the cylinder,
$ℎ$ is the height of the cylinder, and
$�$ is a mathematical constant approximately equal to 3.14159.

Volume of a cylinder Calculation example

Here we need two measurements to calculate the volume of a cylinder. 1. Radius and 2. Height. Now we will calculate the volume of the cylinder based on the above formula . 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 -

$� = � \times 5 0^{2} \times 100$

Now, calculate the volume -

$� = 3.14159 \times 2500 \times 100$

$� \approx 785, 397.5$

$V \approx 785, 397.5 cm^{3}$

So, the volume of a cylinder with a radius of 50 and a height of 100 is approximately $785, 397.5 {cm}^{3}$ .

Frequently Asked Questions (FAQ)

1. What is the volume of a cylinder with a radius of 7 cm and a height of 15 cm?

Enter the data into the formula to determine the volume:

$\text{Volume} = \pi \times (7)^2 \times 15 = \pi \times 49 \times 15 = 735\pi \approx 2,307.6 \text{ cm}^3$

Thus, the cylinder has a volume of around 2,307.6 cubic centimeters.

2. Can we use the volume of a Cylinder Calculator’s volume in more measurement units?
The calculator also is compatible with several measurement units, including inches, meters, and centimeters. For good results, just make sure you always use a unit for all measurements(height and radius) and the same unit every time.

3. And if all I know is the diameter of the cylinder?
Even if you don’t know the length, you can still use the calculator. In order to get this radius just divide it in half and put that into the calculator. The radius is half of the diameter.

4. Can the Volume of a Cylinder Calculator’s volume be trusted?
Of course! Finally, a calculator that gives you the same answer time and time again because it uses the mathematical formula for cylinder volume calculation.

5. So how did I determine the volume of a cylinder without the use of a Volume of a Cylinder Calculator?
With these known formulas, it is possible to determine a cylinder’s volume with your hands.
formula V = π×r2×h
Employing a calculator minimizes the likelihood of calculating mistakes and is speedier.

6. Is this Volume of a Cylinder Calculator able to work out the volume of a hollow cylinder?
A characteristic that calculates the volume of a solid cylinder is a typical cylinder calculator. Finding the volume of a hollow cylinder is based on its measurements: the volume of the outer cylinder is found, and the volume of the inner cylinder is subtracted.

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