C++ Practice Problem - Calculate the Volume of a Sphere

Problem 1173: Calculate the Volume of a Sphere

Time Limit: 2s Memory Limit: 192MB

Problem Description

Calculate the volume of a sphere based on the given radius.

Input Format

Input consists of multiple groups, each group occupies one line, and each line includes a real number representing the radius of the sphere.

Output Format

Output the corresponding volume of the sphere. For each group of input data, output one line, and the result should be rounded to three decimal places.

Sample Input

1.5

Sample Output

4.189

14.137

Code

#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;
const double PI = 3.1415926;  // Define Pi
int main() {    double r;
    // Multiple inputs    while (cin >> r) {        // Calculate the volume of the sphere: V = (4/3) * π * r³        double volume = (4.0 / 3.0) * PI * pow(r, 3);
        // Output the result, rounded to three decimal places        cout << fixed << setprecision(3) << volume << endl;    }
    return 0;
}

Output Result

Code Explanation

Define Pi

const double PI = 3.1415926: Define the constant for Pi

Multiple Input Handling

Use while (cin >> r) to read multiple radius data

Volume Calculation

(4.0 / 3.0): Note to use floating-point numbers to avoid integer division
pow(r, 3): Calculate the cube of the radius
Complete formula: $\frac{4}{3} \pi r^3$

Formatted Output

fixed: Fixed decimal format
setprecision(3): Keep three decimal places

Principle Introduction

Volume Formula of a Sphere

The volume formula of a sphere is:

V=43πr3

Where:

$V$ is the volume of the sphere
$r$ is the radius of the sphere
$\pi$ is Pi (approximately 3.1415926)

Example Verification

Example 1: r = 1

Volume = $\frac{4}{3} \times \pi \times 1^3 = \frac{4}{3} \times 3.1415926 ≈ 4.189$

Example 2: r = 1.5

Volume = $\frac{4}{3} \times \pi \times (1.5)^3 = \frac{4}{3} \times 3.1415926 \times 3.375 ≈ 14.137$

The output results are completely consistent with the examples.

Notes

Use Floating-Point Division: 4.0/3.0 instead of 4/3 to avoid integer division resulting in 1
Precision Requirements: The problem requires three decimal places, use setprecision(3)
Multiple Inputs: Use while (cin >> r) to handle multiple test data

C++ Practice Problem - Calculate the Volume of a Sphere

C++ Basic Tutorial Collection

C++ Practice Problem - Calculate the Volume of a Sphere C++ Basic Materials

1. C++ Output

2. C++ Variables

3. C++ Input

4. C++ Expressions

5. IF Statements

6. IF Applications

7. WHILE Loops

8. FOR Loops

9. Arrays

10. One-Dimensional Arrays

11. Two-Dimensional Arrays

12. C++ Functions

13. C++ File Operations – Writing Files

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C++ Practice Problem - Calculate the Volume of a Sphere