1.3 KiB
1.3 KiB
| id | challengeType | title | forumTopicId |
|---|---|---|---|
| 5900f52d1000cf542c510040 | 5 | Problem 449: Chocolate covered candy | 302121 |
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.
Instructions
Tests
tests:
- text: <code>euler449()</code> should return 103.37870096.
testString: assert.strictEqual(euler449(), 103.37870096);
Challenge Seed
function euler449() {
// Good luck!
return true;
}
euler449();
Solution
// solution required