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geometry · worked example

Solve كرة نصف قطرها 5 — V = 500/3π ≈ 523.6

Method: صيغة حجم الكرة. 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. حجم الكرة: V=43πr3V = \tfrac{4}{3}\pi r^3.

  2. احسب r3=53=125r^3 = 5^3 = 125.

  3. عوّض: V=43π⋅125=5003πV = \tfrac{4}{3}\pi \cdot 125 = \tfrac{500}{3}\pi.

  4. بالتقريب: ≈523.6\approx 523.6.

Answer

V=5003π≈523.6V = \tfrac{500}{3}\pi \approx 523.6

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