geometry · worked example

Solve cone de raio 3, altura 7 — V = 21π ≈ 65.97

Method: fórmula do volume do cone. 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. Volume do cone: V=13πr2hV = \tfrac{1}{3}\pi r^2 h.

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

  3. Note o fator de 1/3 — o cone é um terço do cilindro com a mesma base e altura.

Answer

V=21π65.97V = 21\pi \approx 65.97

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