geometry · worked example

Solve 半徑 5 的球 — V = 500/3π ≈ 523.6

Method: 球體體積公式. Verified step-by-step solution with our free AI math solver.
Problem

V=43πr3, r=5V = \tfrac{4}{3}\pi r^3,\ r = 5

Step-by-step solution

  1. 球體的體積:V=43πr3V = \tfrac{4}{3}\pi r^3

  2. 計算 r3=53=125r^3 = 5^3 = 125

  3. 代入:V=43π125=5003πV = \tfrac{4}{3}\pi \cdot 125 = \tfrac{500}{3}\pi

  4. 取近似值:523.6\approx 523.6

Answer

V=5003π523.6V = \tfrac{500}{3}\pi \approx 523.6

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