圆柱体计算器
根据另外两个值求解直圆柱的半径、高度或体积，以及其底面积、侧面积和总表面积——附带标记图表。
输入
将半径、高度或体积中的其中一个留空——将根据其他两个值计算。
输出
计算完成后，圆柱体图表将显示在此处。
使用此工具的更多方式
REST API
curl -X POST https://api.iotools.cloud/v1/tool/cylinder-calculator \
-H "Authorization: Bearer YOUR_API_KEY" \
-H "Content-Type: application/json" \
-d '{
"radius": "3",
"height": "5"
}'替换成您账户中的密钥。工具的字段即为请求体——没有额外包装。
让 AI 代理执行
Use the IOTools `cylinder-calculator` tool (Cylinder Calculator) on this input:
YOUR_INPUT_HERE将此粘贴给任何已连接 IOTools MCP 服务器的代理,再加上您的输入内容。
嵌入式小组件
<iframe
src="https://iotools.cloud/embed/cylinder-calculator/"
width="100%" height="520" frameborder="0" scrolling="no" loading="lazy"
title="圆柱体计算器 — iotools.cloud"
sandbox="allow-scripts allow-forms allow-same-origin allow-downloads allow-popups allow-popups-to-escape-sandbox"
allow="clipboard-write"
style="width:100%;border:1px solid #e5e7eb;border-radius:12px;overflow:hidden"></iframe>
<script src="https://iotools.cloud/embed.js" async></script>把它放到您自己的页面上——免费,无需密钥,只需保留一个反向链接。
| 每次 API/MCP 调用费用 | 5 积分起 |
|---|---|
| 需要更多积分? | 查看定价 |
也可通过
使用指南
Solve a right circular cylinder's radius, height, or volume from the other two values, plus its base area, lateral (side) area, and total surface area — with a labeled diagram.
The formulas
For a cylinder with radius r and height h:
volume = π r² h
base area = π r²
lateral (side) area = 2π r h
total surface area = 2 × base area + lateral areaSolve for any of the three
Leave any ONE of radius, height, or volume blank and the calculator solves for it from the other two:
- Missing volume →
volume = π r² h - Missing height →
h = volume / (π r²) - Missing radius →
r = √(volume / (π h))
If all three are supplied, the calculator checks they're consistent and flags it if they aren't.
How to use it
- Enter any two of radius, height, and volume — the third is solved for you.
- Read the labeled diagram and the full solution (volume, base area, lateral area, total surface area), or copy the SVG source.
All calculations run in your browser — nothing is uploaded.
What if my three values don't match up?
If you fill in radius, height, and volume all at once, the calculator verifies volume = π r² h and tells you what volume that radius and height actually give if it doesn't — leave one field blank instead to have it solved for you.
Base area vs. lateral area vs. total surface area
The base area is the area of one circular end (π r²) — there are two of them. The lateral area is the curved side surface if you "unrolled" it flat (2π r h). The total surface area adds both ends' area to the lateral area: 2 × base area + lateral area.