Python Program to Find Volume of Cylinder
To find the volume of a cylinder in Python, use the formula
volume = 3.1416 * radius ** 2 * height and write a program that takes radius and height as inputs and calculates this value.Examples
Inputradius = 1, height = 1
OutputVolume of cylinder: 3.1416
Inputradius = 3, height = 5
OutputVolume of cylinder: 141.372
Inputradius = 0, height = 10
OutputVolume of cylinder: 0.0
How to Think About It
To find the volume of a cylinder, first understand that the volume is the area of the circular base times the height. The base area is calculated using the formula for the area of a circle, which is pi times radius squared. Then multiply this area by the height to get the volume.
Algorithm
1
Get the radius of the cylinder from the user2
Get the height of the cylinder from the user3
Calculate the base area using pi times radius squared4
Multiply the base area by the height to get the volume5
Display the volumeCode
python
radius = float(input('Enter the radius of the cylinder: ')) height = float(input('Enter the height of the cylinder: ')) pi = 3.1416 volume = pi * radius ** 2 * height print(f'Volume of cylinder: {volume}')
Output
Enter the radius of the cylinder: 3
Enter the height of the cylinder: 5
Volume of cylinder: 141.372
Dry Run
Let's trace the example where radius = 3 and height = 5 through the code
1
Input radius
User enters radius = 3
2
Input height
User enters height = 5
3
Calculate volume
volume = 3.1416 * 3 ** 2 * 5 = 3.1416 * 9 * 5 = 141.372
4
Print result
Output: Volume of cylinder: 141.372
| Step | Operation | Value |
|---|---|---|
| 1 | radius input | 3 |
| 2 | height input | 5 |
| 3 | volume calculation | 141.372 |
| 4 | print output | Volume of cylinder: 141.372 |
Why This Works
Step 1: Calculate base area
The base area of the cylinder is a circle, so we use pi * radius ** 2 to find it.
Step 2: Multiply by height
Volume is base area times height, so multiply the area by height to get the volume.
Step 3: Display the volume
Print the calculated volume so the user can see the result.
Alternative Approaches
Using math.pi constant
python
import math radius = float(input('Enter radius: ')) height = float(input('Enter height: ')) volume = math.pi * radius ** 2 * height print(f'Volume of cylinder: {volume}')
This uses the built-in math module for a more precise value of pi.
Using a function to calculate volume
python
def cylinder_volume(r, h): pi = 3.1416 return pi * r ** 2 * h radius = float(input('Radius: ')) height = float(input('Height: ')) print(f'Volume of cylinder: {cylinder_volume(radius, height)}')
Encapsulates the calculation in a function for reuse and clarity.
Complexity: O(1) time, O(1) space
Time Complexity
The calculation involves a fixed number of arithmetic operations, so it runs in constant time.
Space Complexity
Only a few variables are used to store inputs and the result, so space usage is constant.
Which Approach is Fastest?
All approaches run in constant time; using math.pi is slightly more accurate but has negligible performance difference.
| Approach | Time | Space | Best For |
|---|---|---|---|
| Fixed pi value | O(1) | O(1) | Simple, quick calculations |
| math.pi constant | O(1) | O(1) | More accurate results |
| Function encapsulation | O(1) | O(1) | Code reuse and clarity |
Use the math module's pi constant for more accurate calculations instead of a fixed value.
Forgetting to square the radius or mixing up radius and height values.