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geometry · worked example

Solve 半徑 3、高 10 的圓柱 — V = 90π ≈ 282.74

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

V=πr2h, r=3, h=10V = \pi r^2 h,\ r=3,\ h=10

Step-by-step solution

  1. 圓柱的體積：V=πr2hV = \pi r^2 h。

  2. 代入 r=3r = 3、h=10h = 10：V=π⋅9⋅10=90πV = \pi \cdot 9 \cdot 10 = 90\pi。

  3. 取近似值：≈282.74\approx 282.74。

Answer

V=90π≈282.74V = 90\pi \approx 282.74

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