base radius

简明释义

基圆半径;

英英释义

例句

1.In architecture, the base radius (底半径) of columns can affect the overall stability of the structure.

在建筑学中，柱子的base radius（底半径）可以影响整体结构的稳定性。

2.When designing a water tank, engineers must calculate the base radius (底半径) to ensure it holds enough water.

在设计水箱时，工程师必须计算base radius（底半径）以确保其能容纳足够的水。

3.The height of the cone is directly related to the base radius (底半径) when determining its slant height.

在确定圆锥的斜高时，圆锥的高度与base radius（底半径）直接相关。

4.To find the surface area of a cone, the base radius (底半径) is essential in the calculations.

要找出圆锥的表面积，base radius（底半径）在计算中是必不可少的。

5.The formula for the volume of a cylinder is based on the area of the base, which includes the base radius (底半径).

圆柱体的体积公式是基于底面的面积，其中包括base radius（底半径）。

作文

In the field of geometry, understanding the concept of radius is crucial for various calculations and applications. One specific term that often arises in discussions about three-dimensional shapes, particularly cones and cylinders, is the term base radius. The base radius refers to the distance from the center of the base of a solid figure to its outer edge. This measurement is vital because it directly influences the overall dimensions and properties of the shape in question.For instance, when calculating the volume of a cone, the formula involves the base radius. The formula for the volume of a cone is given by V = (1/3)πr²h, where r represents the base radius and h is the height of the cone. Here, we can see how the base radius plays a critical role in determining the size of the cone. A larger base radius will result in a greater volume, which is essential for practical applications such as engineering and architecture.Similarly, in the case of cylinders, the base radius is equally important. The volume of a cylinder is calculated using the formula V = πr²h, where, again, r denotes the base radius. Understanding this concept allows engineers to design structures that require precise measurements, ensuring safety and functionality.Moreover, the base radius also affects the surface area of these shapes. In the case of a cone, the surface area can be calculated using the formula A = πr(r + l), where l is the slant height. As we can observe, the base radius is a component in determining the surface area as well, which is crucial for applications that require coating or material calculations.In practical scenarios, the concept of base radius can be applied in various fields. For example, in the manufacturing industry, when creating cylindrical containers, understanding the base radius helps in determining how much material is needed for production. Additionally, in the world of sports, the base radius of a circular track can influence the design and layout of athletic facilities, ensuring that they meet the necessary standards for competition.Furthermore, the base radius has implications beyond just geometric calculations. In physics, when studying rotational motion, the base radius can affect the torque and angular momentum of an object. A larger base radius in a rotating system means that there is a greater distance from the axis of rotation, which can lead to increased torque.In conclusion, the term base radius is not merely a mathematical concept; it has real-world applications that span across multiple disciplines. From geometry to engineering and even physics, the base radius is essential for understanding the properties of various shapes and their applications in practical scenarios. Mastering the concept of base radius will undoubtedly enhance one's ability to engage with complex problems in both academic and professional settings.

在几何学领域，理解半径的概念对于各种计算和应用至关重要。一个特定的术语经常出现在关于三维形状的讨论中，特别是锥体和圆柱体，那就是底面半径。底面半径指的是固体图形底部中心到其外缘的距离。这一测量非常重要，因为它直接影响到相关形状的整体尺寸和属性。例如，在计算锥体的体积时，公式涉及到底面半径。锥体的体积公式为V = (1/3)πr²h，其中r代表底面半径，h是锥体的高度。在这里，我们可以看到底面半径在确定锥体大小方面的关键作用。更大的底面半径将导致更大的体积，这对于工程和建筑等实际应用至关重要。同样，在圆柱体的情况下，底面半径也同样重要。圆柱体的体积通过公式V = πr²h进行计算，其中r再次表示底面半径。理解这一概念使工程师能够设计需要精确测量的结构，以确保安全性和功能性。此外，底面半径还会影响这些形状的表面积。以锥体为例，表面积可以通过公式A = πr(r + l)计算，其中l是斜高。如我们所见，底面半径是确定表面积的一个组成部分，这对于需要涂层或材料计算的应用至关重要。在实际场景中，底面半径的概念可以应用于多个领域。例如，在制造业中，当制造圆柱形容器时，了解底面半径有助于确定生产所需的材料。此外，在体育界，圆形跑道的底面半径会影响运动设施的设计和布局，确保它们符合比赛的必要标准。此外，底面半径不仅仅具有几何计算的意义。在物理学中，研究旋转运动时，底面半径会影响物体的扭矩和角动量。在旋转系统中，更大的底面半径意味着离旋转轴的距离更大，这可能导致扭矩增加。总之，术语底面半径不仅仅是一个数学概念；它在多个学科中具有现实世界的应用。从几何到工程甚至物理学，底面半径对于理解各种形状的属性及其在实际场景中的应用至关重要。掌握底面半径的概念无疑将增强个人在学术和职业环境中处理复杂问题的能力。