中文摘要：

n维超球帽在几何分析中扮演着重要的角色，为进一步研究其性质，本文给出了R^n中超球帽的面积公式，给出了它在计算R^n中超球扇和超球冠的体积公式中的应用．

英文摘要：

The n-dimesional hyperspherical caps play important role in geometric anylasis. In order to research their properties, in this paper, the area formulas of the hyperspherical caps in R^n are given, and their applications are done in calculating the volumes of the hyperspherical sector and hyperspherical crown in R^n.