freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-449-chocolate-covered-candy.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f52d1000cf542c510040	Problem 449: Chocolate covered candy	5	302121	problem-449-chocolate-covered-candy

--description--

Phil the confectioner is making a new batch of chocolate covered candy. Each candy centre is shaped like an ellipsoid of revolution defined by the equation: b^2x^2 + b^2y^2 + a^2z^2 = a^2b^2.

Phil wants to know how much chocolate is needed to cover one candy centre with a uniform coat of chocolate one millimeter thick.

If a = 1 mm and b = 1 mm, the amount of chocolate required is \frac{28}{3} \pi mm³

If a = 2 mm and b = 1 mm, the amount of chocolate required is approximately 60.35475635 mm³.

Find the amount of chocolate in mm³ required if a = 3 mm and b = 1 mm. Give your answer as the number rounded to 8 decimal places behind the decimal point.

--hints--

chocolateCoveredCandy() should return 103.37870096.

assert.strictEqual(chocolateCoveredCandy(), 103.37870096);

--seed--

--seed-contents--

function chocolateCoveredCandy() {

  return true;
}

chocolateCoveredCandy();

--solutions--

// solution required