🥫 圆柱侧面积计算器（含全面积）Lateral Surface Area of a Cylinder Calculator (with Total)
圆柱侧面积 2πrh，全面积 2πr(r+h)（含两个底面）。半径与高须大于 0。本地处理。Cylinder lateral area 2πrh and total surface 2πr(r+h) including both bases. Radius and height must be greater than 0. Processed locally.
使用说明与常见问题How-to & FAQ
「圆柱侧面积计算器（含全面积）」是什么？What is the Lateral Surface Area of a Cylinder Calculator (with Total) tool?
圆柱侧面积 2πrh，全面积 2πr(r+h)（含两个底面）。半径与高须大于 0。本地处理。Cylinder lateral area 2πrh and total surface 2πr(r+h) including both bases. Radius and height must be greater than 0. Processed locally.
如何使用「圆柱侧面积计算器（含全面积）」？How do I use the Lateral Surface Area of a Cylinder Calculator (with Total) tool?
在「圆柱侧面积计算器（含全面积）」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 Lateral Surface Area of a Cylinder Calculator (with Total): Fill in "Radius", "Height"; results are recalculated instantly as you type.
侧面积含不含底？Does lateral area include the bases?
不含。侧面积只有曲面；全面积再加两个底圆。No. Lateral is the curved wall only; total adds both circular bases.
斜圆柱呢？What about an oblique cylinder?
本页按直圆柱：侧面积仍可用展开周长 × 高（垂直高）。This page is a right cylinder; lateral area still uses circumference times perpendicular height.
能举个计算实例吗？Can you show a worked example?
例如在「圆柱侧面积计算器（含全面积）」中填 半径 = 4，高 = 10，结果区显示：侧面积：251.327412；全面积：351.858377For example, entering Radius = 4, Height = 10 in the Lateral Surface Area of a Cylinder Calculator (with Total) gives: Lateral area: 251.327412; Total surface: 351.858377
哪些输入会被检查？Which inputs are validated?
「圆柱侧面积计算器（含全面积）」会检查这些输入——「半径」：必须填写，须大于 0且不大于 1,000,000,000,000,000；「高」：必须填写，须大于 0且不大于 1,000,000,000,000,000；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 Lateral Surface Area of a Cylinder Calculator (with Total) checks its inputs — "Radius": required, must be more than 0 and at most 1,000,000,000,000,000; "Height": required, must be more than 0 and at most 1,000,000,000,000,000; 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?
「圆柱侧面积计算器（含全面积）」的设置：「半径」默认 4；「高」默认 10。每次生成结果都按当前设置处理。Settings in the Lateral Surface Area of a Cylinder Calculator (with Total) — "Radius" default 4; "Height" default 10. The result always uses the current settings.
计算精度如何？How precise are the results?
「圆柱侧面积计算器（含全面积）」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 Lateral Surface Area of a Cylinder Calculator (with Total) uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「圆柱侧面积计算器（含全面积）」免费吗？需要注册吗？Is the Lateral Surface Area of a Cylinder Calculator (with Total) free? Do I need an account?
「圆柱侧面积计算器（含全面积）」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 Lateral Surface Area of a Cylinder Calculator (with Total) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.