cylinder volume

简明释义

汽缸容积

英英释义

The amount of space occupied by a cylinder, calculated using the formula V = πr²h, where r is the radius of the base and h is the height.

圆柱体所占据的空间量,使用公式 V = πr²h 计算,其中 r 是底面的半径,h 是高度。

例句

1.When designing the water reservoir, we must consider the cylinder volume (圆柱体积) to ensure it meets our needs.

在设计水库时,我们必须考虑cylinder volume(圆柱体积),以确保它满足我们的需求。

2.In our physics class, we learned how to derive the formula for cylinder volume (圆柱体积) using its radius and height.

在我们的物理课上,我们学习了如何使用半径和高度推导出cylinder volume(圆柱体积)的公式。

3.The cylinder volume (圆柱体积) of the storage tank was calculated to be 500 cubic meters.

储罐的cylinder volume(圆柱体积)计算为500立方米。

4.To calculate the amount of water needed to fill the tank, we first need to determine the cylinder volume (圆柱体积) of the container.

为了计算填满水箱所需的水量,我们首先需要确定容器的cylinder volume(圆柱体积)。

5.The engineer provided a detailed report on the cylinder volume (圆柱体积) calculations for the new pipeline project.

工程师提供了一份关于新管道项目的cylinder volume(圆柱体积)计算的详细报告。

作文

Understanding the concept of cylinder volume is essential in various fields, including mathematics, engineering, and physics. A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface. The volume of a cylinder can be calculated using a specific formula, which is crucial for solving real-world problems. The formula for calculating the cylinder volume is V = πr²h, where V represents the volume, r is the radius of the base, and h is the height of the cylinder. This formula shows that the volume depends on both the size of the base and the height of the cylinder.In practical applications, understanding cylinder volume is important when dealing with containers, pipes, and other cylindrical objects. For example, if a company produces cans, knowing the volume of each can helps determine how much liquid it can hold. Similarly, engineers must calculate the cylinder volume of pipes to ensure they can transport the required amount of fluid efficiently.Moreover, in the field of construction, architects often design cylindrical structures, such as silos or towers. Understanding the cylinder volume helps them estimate the materials needed for construction and the space available within these structures. By calculating the volume, architects can also ensure that these buildings meet safety regulations and are capable of withstanding environmental pressures.In addition to practical applications, the concept of cylinder volume is significant in theoretical studies. In physics, for instance, the volume of a cylinder can influence calculations related to pressure and fluid dynamics. Knowing how much space a fluid occupies within a cylindrical container can help scientists understand how it behaves under different conditions, such as varying temperatures or pressures.Students learning geometry are often introduced to cylinder volume early in their studies. Mastering this concept not only aids in academic success but also builds a foundation for more advanced topics in mathematics and science. Understanding how to manipulate the formula for cylinder volume allows students to solve complex problems and engage in critical thinking.In conclusion, the significance of cylinder volume extends far beyond mere calculations; it plays a vital role in everyday life, industry, and scientific research. Whether one is designing a new product, constructing a building, or studying natural phenomena, a solid grasp of how to calculate and apply cylinder volume is indispensable. As we continue to encounter cylindrical shapes in various contexts, the importance of understanding their volume remains ever relevant, making it a fundamental concept worth mastering.

理解圆柱体体积的概念在数学、工程和物理等多个领域中至关重要。圆柱体是一个三维几何形状,具有两个平行的圆形底面,通过曲面连接在一起。计算圆柱体的体积需要使用特定的公式,这对于解决现实世界中的问题至关重要。计算圆柱体体积的公式是V = πr²h,其中V代表体积,r是底面的半径,h是圆柱体的高度。这个公式表明,体积取决于底面的大小和圆柱体的高度。在实际应用中,理解圆柱体体积在处理容器、管道和其他圆柱形物体时非常重要。例如,如果一家公司生产罐子,了解每个罐子的体积有助于确定它可以容纳多少液体。同样,工程师必须计算管道的圆柱体体积以确保它们能够高效地运输所需量的液体。此外,在建筑领域,建筑师经常设计圆柱形结构,如筒仓或塔楼。理解圆柱体体积有助于他们估算建筑所需的材料以及这些结构内可用的空间。通过计算体积,建筑师还可以确保这些建筑符合安全规定,并且能够承受环境压力。除了实际应用外,圆柱体体积的概念在理论研究中也很重要。例如,在物理学中,圆柱体的体积可以影响与压力和流体动力学相关的计算。了解流体在圆柱形容器内占据的空间可以帮助科学家理解它在不同条件下(如温度或压力变化)下的行为。学习几何的学生通常会在学习早期接触到圆柱体体积。掌握这一概念不仅有助于学业成功,还为更高级的数学和科学主题奠定基础。理解如何操纵圆柱体体积的公式使学生能够解决复杂的问题并进行批判性思考。总之,圆柱体体积的重要性远不止于简单的计算;它在日常生活、工业和科学研究中发挥着至关重要的作用。无论是设计新产品、建造建筑物,还是研究自然现象,牢固掌握如何计算和应用圆柱体体积都是不可或缺的。随着我们在各种背景下继续遇到圆柱形状,理解其体积的重要性仍然是相关的,使其成为值得掌握的基本概念。

相关单词

cylinder

cylinder详解:怎么读、什么意思、用法

volume

volume详解:怎么读、什么意思、用法