JavaScript: Volume of a Hemisphere

JavaScript Math: Exercise-64 with Solution

Volume of a Hemisphere

Write a JavaScript program to calculate the volume of a Hemisphere.

Hemisphere refers to a half of a sphere:
A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.[2] That given point is the centre of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.

Sample Data:

Sample Solution:

JavaScript Code:

// Define a function volume_Hemisphere that calculates the volume of a hemisphere given its radius.
const volume_Hemisphere = (radius) => {
  // Check if the radius is a number and positive.
  is_Number(radius, 'Radius');
  // Return the volume of the hemisphere.
  return (2.0 * Math.PI * radius ** 3) / 3.0;
}

// Define a function is_Number that checks if a given value is a number and positive.
const is_Number = (n, n_name = 'number') => {
  // If the given value is not a number, throw a TypeError.
  if (typeof n !== 'number') {
    throw new TypeError('The ' + n_name + ' is not Number type!');
  } 
  // If the given value is negative or not a finite number, throw an Error.
  else if (n < 0 || (!Number.isFinite(n))) {
    throw new Error('The ' + n_name + ' must be a positive values!');
  }
}

// Call the volume_Hemisphere function with valid and invalid arguments and output the results.
console.log(volume_Hemisphere(4.0));
console.log(volume_Hemisphere('4.0'));
console.log(volume_Hemisphere(-4.0));

Output:

134.0412865531645
-----------------------------------------------------
Uncaught TypeError: The Radius is not Number type! 
 at https://cdpn.io/cpe/boomboom/pen.js?key=pen.js-cdc3f8b5-64db-2243-c54a-9eb0b18e4e11:7
---------------------------------------------------------------------------------------
Uncaught Error: The Radius must be a positive values! 
 at https://cdpn.io/cpe/boomboom/pen.js?key=pen.js-1c4568d0-7438-2bbc-4808-62b08b7f3693:11

Flowchart:

Live Demo:

See the Pen javascript-math-exercise-64 by w3resource (@w3resource) on CodePen.

For more Practice: Solve these Related Problems:

• Write a JavaScript function that calculates the volume of a hemisphere given its radius using the appropriate formula.
• Write a JavaScript function that computes the volume of a hemisphere and validates that the radius is a positive number.
• Write a JavaScript function that compares the hemisphere volume to half the volume of a full sphere.
• Write a JavaScript function that returns the hemisphere volume formatted to a specific number of decimal places.

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