Python program to find volume of capsule

A capsule is a three-dimensional geometric figure that consists of a cylindrical body with hemispherical ends on both sides. The volume of a capsule can be calculated by adding the volume of the cylindrical part and the volume of the two hemispherical ends. In this tutorial, we will learn how to find the volume of a capsule in Python using different approaches.

Formula for Volume of Capsule

The volume of a capsule combines the volumes of its cylindrical and hemispherical parts ?

Volume of Capsule = Volume of cylinder + Volume of both hemispheres

Volume of Capsule = ? × r² × h + (2/3) × ? × r³ + (2/3) × ? × r³

Volume of Capsule = ? × r² × h + (4/3) × ? × r³

Where:
r ? is the radius of the hemispherical ends
h ? is the height of the cylindrical body (excluding the hemispherical ends)

Using Direct Formula Approach

We can calculate the capsule volume directly using the formula: Volume = ? × r² × h + (4/3) × ? × r³.

import math

radius = 5
height = 10

# Calculate volume using the capsule formula
cylindrical_part = math.pi * radius**2 * height
hemispherical_part = (4/3) * math.pi * radius**3
volume = cylindrical_part + hemispherical_part

print(f"Radius: {radius} units")
print(f"Height: {height} units") 
print(f"Volume: {volume:.2f} cubic units")

Radius: 5 units
Height: 10 units
Volume: 1309.00 cubic units

Using Function Approach

We can create a reusable function to calculate the capsule volume for different dimensions ?

import math

def calculate_capsule_volume(radius, height):
    """Calculate volume of capsule given radius and height"""
    cylindrical_volume = math.pi * radius**2 * height
    hemispherical_volume = (4/3) * math.pi * radius**3
    return cylindrical_volume + hemispherical_volume

# Test with different dimensions
dimensions = [(5, 10), (7, 15), (3, 8)]

for r, h in dimensions:
    volume = calculate_capsule_volume(r, h)
    print(f"Radius: {r}, Height: {h} ? Volume: {volume:.2f} cubic units")

Radius: 5, Height: 10 ? Volume: 1309.00 cubic units
Radius: 7, Height: 15 ? Volume: 3731.86 cubic units
Radius: 3, Height: 8 ? Volume: 339.29 cubic units

Interactive Volume Calculator

Here's a more comprehensive calculator that breaks down the volume components ?

import math

def capsule_volume_breakdown(radius, height):
    """Calculate capsule volume with component breakdown"""
    # Calculate individual components
    cylindrical_volume = math.pi * radius**2 * height
    hemispherical_volume = (4/3) * math.pi * radius**3
    total_volume = cylindrical_volume + hemispherical_volume
    
    return {
        'cylindrical': cylindrical_volume,
        'hemispherical': hemispherical_volume,
        'total': total_volume
    }

# Example calculation
radius = 6
height = 12

result = capsule_volume_breakdown(radius, height)

print(f"Capsule with radius {radius} and height {height}:")
print(f"Cylindrical part: {result['cylindrical']:.2f} cubic units")
print(f"Hemispherical parts: {result['hemispherical']:.2f} cubic units")
print(f"Total volume: {result['total']:.2f} cubic units")

Capsule with radius 6 and height 12:
Cylindrical part: 1357.17 cubic units
Hemispherical parts: 904.78 cubic units
Total volume: 2261.95 cubic units

Comparison of Methods

Conclusion

The capsule volume formula combines cylindrical and hemispherical components: ? × r² × h + (4/3) × ? × r³. Use functions for reusability and better code organization when calculating multiple capsule volumes.