instruction:
In this task, you are given a sentence in the Japanese language and your task is to convert it into the English language. In translation, keep numbers as it is and make it sentence case (capitalize only the first word of each sentence and noun).
question:
高さ１０kmの灰の雲が７４０×１８０kmの範囲に拡がった。
answer:
A 10km high ash cloud spread over an area of 740 by 180 km.


question:
雲のサイズと分布が典型的なものだと仮定すると、ニカストロと同僚達は、宇宙いたるところにある同様な雲の重粒子平均密度が、行方知れずの重粒子の質量密度と一致することを発見しつつ、初めて信頼できる値を割り出した。
answer:
Assuming that the size and distribution of the clouds are representative, Nicastro and colleagues made the first reliable estimate of average density of baryons in such clouds throughout the Universe, finding it consistent with the mass density of the missing baryons.


question:
香港は香港基本法の一環として、「ひとつの国、ふたつのシステム」という中国との間の合意の下、西洋式の自由を享受し続けている。
answer:

As part of its Basic Law, Hong Kong continues to enjoy western-style liberties within the One country, two systems settlement within China.