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紅豬 / Porco Rosso Mystery Cache

Hidden : 11/29/2019
Difficulty:
4.5 out of 5
Terrain:
1 out of 5

Size: Size:   micro (micro)

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Geocache Description:


The posted coordinates is not the cache location, you need to type the answer in the geochecker to get information about the final.

 

 

紅の豚 / Porco Rosso

「飛ばねえ豚は、ただの豚だ」

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[紅の豚 / Porco Rosso] is an animated movie which is directed by 宮崎駿 in 1992. The movie was originally designed to play on the flights, but canceled because the footage was too long.

The plot can be very complex, because you can find mid adults’ feelings in the movie. A little pessimistic, a little melancholy, a little self-ridicule, a little crazy and a little sentimental. 宮崎駿 said the movie is for the middle-aged. However, the movie can be very easy, you will see the “romance” between “men”.

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Durning the last mission, Porco was attacked by Mamma Aiuto Gang. Since his aircraft had been damaged, he wanted to make a crash-landing. The following is his last message from the wireless, I have already gathered and organised the information but still need your help to calculate the vital data. Please find the final location of his plane.

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(1.)From the design layout made by Fio Piccolo, I know the shape of gas tank of his aircraft. One cylinder intersects the another cylinder, and they are mutually perpendicular(See the left photo), they have the same diameter 2√7 m. The intersection of the two cylinders is the shell of the gas tank(See the right photo,the coordinate axis in the photo is an example.).

Please determine the total volume(m3) of the fuel. Ignore the thickness of the tank's shell. Round the number to the nearest whole number. 

 


You can validate your puzzle solution with certitude.

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(2.)Corresponding to the previous question, according to the message of Porco, he said his airplane was just hit by the enemies and a bullet penetrated the middle bottom of the fuel tank at the posted coordinates, which made the fuel leaked out from the tank through the bullet hole. After mearsuring, we know the function of fuel loss rate by the bullet hole is f(t) = 12111et - 1 (unit: m3 / hr) (t is the passing time, t = 0 when the bullet just hit the tank / e is Euler's number). And the engine consumes 1 m3 fuel per hour. Please ignore the other factors that might effect the amount of fuel, just considering the two functions and determining how long (hrs)  would the fuel run out. Assume the tank was filled when Porco was at the posted coordinates.

Round the number to the fifth decimal place. 

 


You can validate your puzzle solution with certitude.

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(3.)Corresponding to the previous question, Porco moved at a constant speed 156 km/hr along the way until the fuel ran out. Assume the tank was filled when Porco was at the posted coordinates. After he was attacked, he kept flying West with the same speed. When the fuel just ran out, Porco tried hard to make a crash-landing and the airplane turned 90 degrees to the left at that moment. The airplane slowed down and started to land. Before the plane was totally static, we found its whole flying distance after he was attacked is around 2.3km.

Please find the location of his airplane.

GeoCheck.org

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If you have watched the movie, you could also share your favorite parts with me in your logs.

Additional Hints (No hints available.)