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UniKit

Sphere volume

Sphere volume V = 4πr³/3: enter the radius to get the volume plus surface area, diameter and equator length; values are rounded to 6 decimals and a non-positive radius is rejected.

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Radius r

Result

One quantity per line, ready to copy.

Enter a radius to calculate

What this tool does

  • Check the sphere volume and get the surface area and equator length for packaging, coating or wire cutting.
  • Compare how volume grows with radius — it scales with the cube, so doubling the radius multiplies the volume by eight.
  • Verify the formulas: surface 4πr², volume 4πr³/3.

Example

Input

2

Output

半径 2 的球体积:33.510322
表面积 4πr²:50.265482
直径 2r:4
赤道周长 2πr:12.566371
长度单位 u,面积 u²,体积 u³

At radius 1 the volume is 4π/3 ≈ 4.188790, the surface 4π ≈ 12.566371 and the equator 2π ≈ 6.283185 — all canonical values.

Frequently asked questions

How does volume scale with radius?

Volume is proportional to the cube of the radius: going from 1 to 2 changes the volume from 4.19 to 33.51, exactly eight times. That is also why small spheres have proportionally more surface.

How do I read the units?

If the radius is in a length unit the surface is in square units and the volume in cubic units. The tool does not convert, so an input of 1 metre gives square and cubic metres.

Why is 0 rejected?

A zero radius collapses the sphere into a point — the formula still evaluates but the result is meaningless. Non-positive input is rejected instead of silently returning 0.

Keywords:圆球体积Sphere volume球sphere几何计算geometry体积

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