Volume of a Cylinder Calculator
Volume of a Cylinder Calculator calculates the volume of a cylinder for the given radius and height. A cylinder is defined as a three-dimensional solid figure which consists of two congruent and identical circular bases connected by a curved surface. The number of unit cubes that can be fit into a cylinder gives the measure of its volume.
What is the Volume of a Cylinder Calculator?
Volume of a Cylinder Calculator is an online tool that helps to compute the volume of a cylinder. The volume of a cylinder can be defined as the amount of space contained within that cylinder. It can also be thought of as the capacity of the given cylinder. To use this volume of a cylinder calculator, enter the values in the given input boxes.
Volume of a Cylinder Calculator
How to Use Volume of a Cylinder Calculator?
Please follow the steps below to find the volume of a cylinder using the online volume of a cylinder calculator:
- Step 1: Go to Cuemath’s online volume of a cylinder calculator.
- Step 2: Enter the radius and height of the cylinder in the given input boxes of the volume of a cylinder calculator.
- Step 3: Click on the "Calculate" button to find the volume.
- Step 4: Click on the "Reset" button to clear the fields and enter new values.
How Does Volume of a Cylinder Calculator Work?
Cylinders can be categorized into four main types. These are the right circular cylinder, elliptical cylinder, oblique cylinder, and right circular hollow cylinder. However, the most commonly used type of cylinder is the right circular cylinder. In this, both the upper and lower bases are circular. The centers of these bases are connected by an axis that is perpendicular to the plane of the bases. To find the volume of a cylinder we take the product of the base area and the height. Thus, the volume of a cylinder is given by the formula:
Volume of a cylinder = πr2h
Where the base area is πr2. This is because the base is circular in nature.
Here, r is the radius of a cylinder's circular base, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14 or 22/7.
Solved Examples on Volume of a Cylinder Calculator
Example 1:
Find the volume of a cylinder whose radius is 6 units and the height is 5 units. Verify it using the volume of a cylinder calculator.
Solution:
The volume of a cylinder = πr2h
= 3.14 × 62 × 5
= 565.2 cubic units
Therefore, the volume of a cylinder is 565.2 cubic units.
Example 2:
Find the volume of a cylinder whose radius is 7.14 units and the height is 8.2 units. Verify it using the volume of a cylinder calculator.
Solution:
The volume of a cylinder = πr2h
= 3.14 × 7.142 × 8.2
= 1312.62 cubic units
Therefore, the volume of a cylinder is 1312.62 cubic units.
Similarly, you can try the volume of a cylinder calculator to determine the volume of a cylinder for the following dimensions:
- Radius of cylinder = 14 units, height of cylinder = 7 units
- Radius of cylinder = 5.4 units, height of cylinder = 11.8 units
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