@article{oai:ir.kagoshima-u.ac.jp:00011027,
 author = {ISOKAWA, Yukinao},
 journal = {鹿児島大学教育学部研究紀要. 自然科学編, Bulletin of the Faculty of Education, Kagoshima University. Natural science},
 month = {2016-10-31},
 note = {We study solids made from the unit sphere by removing a number n of parallel cylinders of various radii that are externally tangent to each other and internally tangent to the unit sphere. Qur main interest is to study extremal properties (the maximum and the minimum) of geometrical characteristics such as surface area, volume, and perimeter length in the space of all of these solids. When n = 2, we show that the classical Viviani's solid enjoys an extremal property. When n = 3, by restricting the space so that it becomes compact, we show that geometrical charcteristics have extremes when and only when two of radii of cylinders are equal each other.},
 pages = {45--52},
 title = {Generalized Viviani's Solid},
 volume = {63},
 year = {}
}