Volume of a Cylinder Calculator: Quick & Accurate Results

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.

Volume of a Cylinder Calculator

Select unit: Base Radius: Height:

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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 by 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 $785, 397.5 {cm}^{3}$ .

Answers to Common 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. Is it possible to utilize a Volume of a Cylinder Calculator's volume in multiple measurement units?

Yes, the calculator is compatible with a number of measurement units, including inches, meters, and centimeters. To obtain correct results, just make sure you always use the same unit for all measurements (height and radius).

3. What happens if all I know is the cylinder's diameter?

You can still use the calculator even if all you have is the diameter. To find the radius, just divide the diameter by two, and then enter that number into the calculator. Half of the diameter is the radius.

4. Is a Volume of a Cylinder Calculator's volume accurate?

Of course! The calculator ensures accurate and consistent answers each and every time by using the mathematical formula for cylinder volume calculation.

5. How can I figure out a cylinder's volume without a Volume of a Cylinder Calculator?

By hand, you may determine a cylinder's volume with the following formula.

$π \times r^{2} \times h$

On the other hand, employing a calculator minimizes the likelihood of calculating mistakes and is speedier.

6. Can I use this Volume of a Cylinder Calculator to determine the volume of a hollow cylinder?

The volume of a solid cylinder may be computed using a typical cylinder calculator. A hollow cylinder's volume may be found by utilizing its measurements to determine the volume of the outer cylinder and subtracting the volume of the inner cylinder.