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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: b2x2 + b2y2 + a2z2 = a2b2.

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

283 π 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--

euler449() should return 103.37870096.

assert.strictEqual(euler449(), 103.37870096);

--seed--

--seed-contents--

function euler449() {

  return true;
}

euler449();

--solutions--

// solution required

1.1 KiB Raw Blame History