Cylinder volume calculator

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

A cylinder is a geometric body that is bounded by a cylindrical surface and 2 planes that are parallel and intersect.

A cylinder is a three-dimensional geometric shape with a circular base and straight sides that extend upwards to form a cylindrical shape. The volume of a cylinder can be calculated using the following formula:

V = \pi r^2h

where V is the volume of the cylinder, r is the radius of the circular base, and h is the height of the cylinder.

Cylinder Volume Formulas

The formula for calculating the volume of a cylinder can be derived by using the basic formula for the volume of a cylinder, which is the product of the area of the base and the height of the cylinder.

V = Sh

The area of the base is calculated using the formula for the area of a circle, which is πr². Thus the formula for the volume of a cylinder can be written as:

V = \pi r^2h

where V is the volume of the cylinder, S is the area of the base, r is the radius of the circular base and h is the height of the cylinder.

How to Use the Cylinder Volume Calculator

Our cylinder volume calculator makes it easy to find the volume of your cylinder. To use the calculator:

• Option 1: Select the `Through radius and height` method. Enter the radius and height of the cylinder in the first and second boxes respectively. The calculator will automatically calculate the volume of the cylinder.
• Select the `Through the base area` method. Enter the base area and height of the cylinder in the first and second boxes respectively. The calculator will automatically calculate the volume of the cylinder.

Cylinder Volume Examples

Here are some examples of finding the volume of a cylinder using the formula:

Example 1

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm.

V = \pi 5^2 10 = 785.4cm^3

Example 2

Find the volume of a cylinder with a base area of 50 sq cm and a height of 8 cm.

V = 50*8 = 400cm^3

Conclusion

Calculating the volume of a cylinder is an important skill in geometry. Our cylinder volume calculator and formula make it easy to find the volume of your cylinder.