geometry · worked example

Solve 半徑 3、高 7 的圓錐 — V = 21π ≈ 65.97

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

V=13πr2h, r=3, h=7V = \tfrac{1}{3}\pi r^2 h,\ r=3,\ h=7

Step-by-step solution

  1. 圓錐體積:V=13πr2hV = \tfrac{1}{3}\pi r^2 h

  2. 代入:V=13π97=21π65.97V = \tfrac{1}{3}\pi \cdot 9 \cdot 7 = 21\pi \approx 65.97

  3. 注意係數 1/3 — 圓錐是同底同高圓柱的三分之一。

Answer

V=21π65.97V = 21\pi \approx 65.97

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