111 LearnersLast updated on August 5th, 2025
Volume of a Cylinder Calculator
A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving geometry. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Volume of a Cylinder Calculator.
What is the Volume of a Cylinder Calculator
The Volume of a Cylinder Calculator is a tool designed for calculating the volume of a cylinder.
A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.
The diameter of the cylinder is a straight line running through the center and joining the opposite points of the bases of the cylinder.
The word cylinder comes from the Greek word "kylindros," meaning "roller" or "tumbler."
How to Use the Volume of a Cylinder Calculator
For calculating the volume of a cylinder using the calculator, we need to follow the steps below -
Step 1: Input: Enter the radius and height
Step 2: Click: Calculate Volume. By doing so, the radius and height we have given as input will get processed
Step 3: You will see the volume of the cylinder in the output column
Tips and Tricks for Using the Volume of a Cylinder Calculator
Mentioned below are some tips to help you get the right answer using the Volume of a Cylinder Calculator.
Know the formula: The formula for the volume of a cylinder is ‘πr²h’, where ‘r’ is the radius (the distance from the center to the edge of the base), and ‘h’ is the height of the cylinder.
Use the Right Units: Make sure the radius and height are in the right units, like centimeters or meters.
The answer will be in cubic units (like cubic centimeters or cubic meters), so it’s important to match them.
Enter correct Numbers: When entering the radius and height, make sure the numbers are accurate.
Small mistakes can lead to big differences, especially with larger numbers.
Common Mistakes and How to Avoid Them When Using the Volume of a Cylinder Calculator
Calculators mostly help us with quick solutions.
For calculating complex math questions, students must know the intricate features of a calculator.
Given below are some common mistakes and solutions to tackle these mistakes.
Mistake 1
Rounding off too soon
Rounding the decimal number too soon can lead to wrong results.
For example, if the volume is 47.89 cm³, don’t round it to 48 right away.
Finish the calculation first.
Mistake 2
Entering the wrong number as the radius or height
Make sure to double-check the numbers you are going to enter as the radius and height.
If you enter the radius as ‘5’ instead of ‘6’, the result will be incorrect.
Mistake 3
Mixing up πr²h with πr³
‘πr²h’ defines the volume of a cylinder, whereas ‘πr³’ is used for spheres or hemispheres.
Using the wrong formula will give the wrong result.
The volume of the cylinder is πr²h, not πr³.
Mistake 4
Relying too much on the calculator
The calculator gives an estimate.
Real objects may not be perfect, so the answer might be slightly different.
Keep in mind that it's an approximation.
Mistake 5
Mixing up the positive and negative signs
Always check that you’ve entered the correct positive (+) or negative (–) signs.
A small mistake, like using the wrong sign for the radius or height, can completely change the result.
Make sure the signs are correct before finishing your calculation.
For example, if the radius is 10 cm, entering -10 cm instead of +10 cm could give you an incorrect volume.
Volume of Cylinder Calculator Examples
Problem 1
Help Sarah find the volume of a water tank if its radius is 4 cm and height is 10 cm.
We find the volume of the water tank to be 502.4 cm³
Explanation
To find the volume, we use the formula: V = πr²h
Here, the value of ‘r’ is given as 4 and ‘h’ as 10
Now, we have to substitute the values of ‘r’ and ‘h’ in the formula: V = πr²h = 3.14 × (4)² × 10 = 3.14 × 16 × 10 = 502.4 cm³
Problem 2
The radius ‘r’ of a cylindrical barrel is 7 cm, and its height is 15 cm. What will be its volume?
The volume is 2309.25 cm³
Explanation
To find the volume, we use the formula: V = πr²h
Since the radius is given as 7 and height as 15,
we can find the volume as V = πr²h = 3.14 × (7)² × 15 = 3.14 × 49 × 15 = 2309.25 cm³
Problem 3
Find the volume of the cylinder with radius 3 cm and height 5 cm. After finding the volume, double it.
We will get the doubled volume as 282.6 cm³
Explanation
For the volume of a cylinder, we use the formula ‘V = πr²h’.
Volume of cylinder = πr²h = 3.14 × (3)² × 5 = 3.14 × 9 × 5 = 141.3 cm³
The doubled volume = 2 × volume of cylinder = 2 × 141.3 = 282.6 cm³
Problem 4
A cylindrical container has a radius of 8 cm and a height of 20 cm. Find its volume.
We find the volume of the cylindrical container to be 4021.33 cm³
Explanation
Volume = πr²h = 3.14 × (8)² × 20 = 3.14 × 64 × 20 = 4021.33 cm³
Problem 5
Michael wants to calculate the volume of a cylindrical pillar. If the radius of the pillar is 12 cm and the height is 25 cm, help Michael find its volume.
The volume of the cylindrical pillar is 11309.5 cm³
Explanation
Volume of cylindrical pillar = πr²h = 3.14 × (12)² × 25 = 3.14 × 144 × 25 = 11309.5 cm³
FAQs on Using the Volume of a Cylinder Calculator
1.What is the volume of a cylinder?
2.What happens if the radius or height is entered as ‘0’?
3.What will be the volume of the cylinder if the radius is 5 and the height is 10?
4.What units are used to represent the volume?
5.Can we use this calculator to find the volume of a cone?
Important Glossary for the Volume of Cylinder Calculator
- Volume: It is the amount of space occupied by any object.
It is measured either in cubic meters (m³) or cubic centimeters (cm³).
- Radius: Distance measured from the center of a circle to its edge.
For example, in V = π × (5)² × 10, ‘5’ is the radius.
- Height: The distance between the two bases of the cylinder.
- Pi (π): A mathematical constant that represents the ratio of a circle's circumference to its diameter.
The value of pi is approximately equal to 3.14159.
- Cubic Units: Units used to measure volume.
We use m³ and cm³ to represent the volume.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
