When you need to calculate the height of a cylinder, which is the length of its side from top to bottom, there’s only one thing you have to know: the formula. In this post, we’ll mention that, as well as a few other things to help you better understand the topic at hand.

What is a cylinder?

A cylinder is a three-dimensional geometric solid. It has two circular bases, which are perpendicular to the base and it has sides that connect the two bases. A cylinder has a central axis, which is an imaginary line passing through the center of its cross-section. The cylinders are among the simplest shapes in geometry. They can be defined as any 3D object having circular ends and straight sides (the flat surfaces bounding each end). Cylinders are one of the basic forms used in architecture and engineering,

Cylinders can be classified by their ends: right-angled, rounded (or part-rounded), or curved; or by their base type: circular (circular base), elliptical (elliptical base), or conical/tapered (parabolic/conical).

What’s the height of a cylinder formula?

The height of a cylinder is the distance from the center of the base of the cylinder to its top. In other words, it’s just the distance between the two circles or bases of the cylinder.

It is used for calculating the volume of a cylinder, along with the radius of the base. For this, we use the formula:

V = r^2 \times \pi \times h

where r is the radius, and h is the height.

How to find the height of a cylinder

The height of a cylinder can be found by simply measuring it. Alternatively, you can reverse engineer the formula for volume that we mentioned before, and you would get:

h = \frac {V}{r^2 \times \pi}

There is another formula you could use to calculate the height of a given cylinder using its diagonal. A diagonal is the longest possible length you can find inside a cylinder. It is a line that connects the two bases, with the two points being on the opposite side of the circles. Using the diagonal, we can calculate the height:

h = \sqrt {d^2 \times 4 \ times r^2}

How to use the height of a cylinder calculator

The height of a cylinder calculator uses the formula we previously mentioned in order to calculate the height. So, all you need to do is enter the radius, and the diagonal, and the calculator will give you the height.

Along with that, the calculator will also give you other useful information about the given cylinder, such as the volume, the surface area of the base, the lateral surface area, and the total surface area.

The calculator works both ways, so if, say, you know the height and radius of the cylinder, but you want to calculate the diagonal, you could do that too.

If you want to find the surface area of a cylinder, you can use our Surface Area of a Cylinder Calculator!

Conclusion

In this post, hopefully, we taught you how to find the height of a cylinder and how to use the height of a cylinder calculator. It is important to note that, when calculating yourself, all your measurements should be in the same units because otherwise, the results you get will not be correct. However, if you’re using our calculator, this is not an issue because our calculator automatically converts the units. So, if all your measurements are in different units, you can enter them, as they are, and the results you get will be 100% correct.

FAQ

What is a cylinder?

A cylinder is a geometric shape that can be defined as a solid figure with two parallel bases connected by a curved lateral surface.

What is the height of a cylinder?

The height of a cylinder is the distance between the two bases of the cylinder.

What is the diagonal of a cylinder?

The diagonal of a cylinder is the longest distance you can find inside the cylinder. In other words, it is the longest distance between the two bases of the cylinder.

How do I calculate the height of a cylinder?

The height of a cylinder is equal to the quotient of the volume of the cylinder and the surface area of the base.