Last updated on August 5th, 2025
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.
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."
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
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.
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.
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
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
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
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
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
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
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
Volume = πr²h = 3.14 × (8)² × 20 = 3.14 × 64 × 20 = 4021.33 cm³
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
Volume of cylindrical pillar = πr²h = 3.14 × (12)² × 25 = 3.14 × 144 × 25 = 11309.5 cm³
It is measured either in cubic meters (m³) or cubic centimeters (cm³).
For example, in V = π × (5)² × 10, ‘5’ is the radius.
The value of pi is approximately equal to 3.14159.
We use m³ and cm³ to represent the volume.
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.
: She has songs for each table which helps her to remember the tables