Write a complete program that prompts the user for the radius ofasphere, and calculates and prints the volume of that sphere. Use an inline function sphereVolume that returns the result of the following expression: (4.0 / 3.0 * 3.14159 * pow(radius, 3)).

Short Answer

Expert verified
Write a program with an inline `sphereVolume` function using the formula \(\frac{4}{3} \pi r^3\), prompt the user for the radius, and output the volume.

Step by step solution

01

Include necessary headers

Start the program by including the headers for input/output stream and the math library. Use `#include ` for I/O operations and `#include ` for the power function.
02

Define the inline sphereVolume function

Define an inline function `sphereVolume` that takes a single argument, `radius`, and returns the volume of the sphere. The function should implement the formula \(\frac{4}{3} \pi r^3\), using `3.14159` for \(\textbackslash pi\) and `pow(radius, 3)` to calculate radius cubed.
03

Write the main function

In the `main` function, declare a variable to store the radius. Use `std::cin` to prompt the user for the radius and store the input in the radius variable. Then, call the `sphereVolume` function with the input radius and print the result using `std::cout`.
04

Compile and Execute

After writing the code, compile it to check for any syntax errors. Fix any errors if present. Then, run the program to ensure it works as expected, prompting for the radius and then outputting the volume of the sphere.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Inline Functions in C++
Inline functions are a powerful feature in C++ that optimize the performance of small functions by eliminating the overhead associated with function calls. Rather than jumping to a separate location in memory to execute a function and then returning, an inline function’s code is inserted, or 'inlined', directly into the call site by the compiler.

By marking a function as 'inline', you suggest to the compiler that it should attempt to embed the function directly into the code. This can lead to faster execution, especially for small functions that are called frequently. In the context of calculating the sphere's volume, using an inline function for `sphereVolume` helps in reducing the call overhead since the function is simple and likely to be called multiple times within any given program.

However, it's important to note that 'inline' is merely a request to the compiler. The compiler may ignore this request for inlining if the function is too complex, involves recursion, or has any features that make it unsuitable for inlining, such as static variables. Therefore, inline functions are best used for small, frequently called operations.
Math Library Usage in C++
The math library in C++ is a powerful toolkit for performing a variety of mathematical operations, which include trigonometric, exponential, logarithmic, and power functions, among others. It is accessed in a C++ program by including the header file `` at the beginning of the program.

For calculating the volume of a sphere, we use the `pow` function from the math library, which raises a number to a specified power. In our case, we use it to cube the radius of the sphere as required by the formula for volume. The `pow` function is a part of the `` library and is often used in mathematical computations that require exponents.

The expression \( 4.0 / 3.0 * 3.14159 * pow(radius, 3) \) leverages the `pow` function to raise the sphere's radius to the third power. Using the math library not only simplifies the process of writing mathematical expressions but also ensures that the calculations are accurate and efficient.
User Input and Output in C++
User interaction in C++ is largely handled via the standard input and output streams, provided by the `` library. Standard input (`cin`) and standard output (`cout`) are the primary tools for reading from the keyboard and writing to the screen, respectively.

To obtain the radius of a sphere from the user, `std::cin` is used. It allows the program to wait for user input, store it in a variable, and then use that variable in further calculations. The operator `>>` is used with `std::cin` to direct the input entered by the user into the designated variable.

Subsequently, to display the calculated volume of the sphere, `std::cout` is used along with the `<<` operator, which sends the data to the console. It's crucial for providing feedback to the user and for displaying results, like we do when outputting the calculated volume. Using these tools correctly is essential for creating interactive and user-friendly C++ programs.

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Most popular questions from this chapter

An integer is said to be a perfect number if the sum of its divisors, including 1 (but not the number itself), is equal to the number. For example, 6 is a perfect number, because 6=1 +2+ 3. Write a function is Perfect that determines whether parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the divisors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.

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Write a single statement that prints a number at random from each of the following sets: a) 2, 4, 6, 8, 10. b) 3, 5, 7, 9, 11. c) 6, 10, 14, 18, 22.

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