🥫 圆柱Cylinder Calculator
V = πr2h，侧面积 2πrh，全面积再加两底。本地处理。可设置「半径」、「高」。V = πr2h; lateral 2πrh; total adds both bases. Processed locally. Settings: Radius, Height.
使用说明与常见问题How-to & FAQ
「圆柱」是什么？What is the Cylinder Calculator tool?
V = πr2h，侧面积 2πrh，全面积再加两底。本地处理。可设置「半径」、「高」。V = πr2h; lateral 2πrh; total adds both bases. Processed locally. Settings: Radius, Height.
如何使用「圆柱」？How do I use the Cylinder Calculator tool?
在「圆柱」中，填写「半径」、「高」等参数，结果会随输入实时计算并显示在下方。In the Cylinder Calculator: Fill in "Radius", "Height"; results are recalculated instantly as you type.
能算空心管吗？Can it handle a hollow tube?
本页只算实心圆柱：体积 πr²h、侧面积 2πrh，全面积再加两个底面。空心管的体积可以用 外半径 和 内半径 分别算一次，再相减：π(R² − r²)h。This page is for a solid cylinder: volume πr²h, lateral area 2πrh, and the total adds both ends. For a hollow tube, compute with the outer and inner radius and subtract: π(R² − r²)h.
能举个计算实例吗？Can you show a worked example?
例如在「圆柱」中填 半径 = 3，高 = 10，结果区显示：体积：282.743339；侧面积：188.495559；全面积：245.044227For example, entering Radius = 3, Height = 10 in the Cylinder Calculator gives: Volume: 282.743339; Lateral: 188.495559; Total surface: 245.044227
哪些输入会被检查？Which inputs are validated?
「圆柱」会检查这些输入——「半径」：必须填写，须大于 0且不大于 1,000,000,000；「高」：必须填写，须大于 0且不大于 1,000,000,000；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Cylinder Calculator checks its inputs — "Radius": required, must be more than 0 and at most 1,000,000,000; "Height": required, must be more than 0 and at most 1,000,000,000; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「圆柱」的设置：「半径」默认 3；「高」默认 10。每次生成结果都按当前设置处理。Settings in the Cylinder Calculator — "Radius" default 3; "Height" default 10. The result always uses the current settings.
计算精度如何？How precise are the results?
「圆柱」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Cylinder Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「圆柱」免费吗？需要注册吗？Is the Cylinder Calculator free? Do I need an account?
「圆柱」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Cylinder Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.