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Home » V = \frac13 \pi r^2 h - 500apps

V = \frac13 \pi r^2 h - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 r = \sqrt{\frac{50}{\pi}}

📌 r \approx \sqrt{\frac{50}{3.14159}} \approx \sqrt{15.9155} \approx 3.9894

📌 #### Radius: Approximately 3.99 cm

📌 A particle moves along a path described by \( y = x^3 - 6x^2 + 9x \). Find the x-coordinate where the particle changes direction.

📌 The particle changes direction where the derivative \( y' \) changes sign.

📌 Find \( y' \):

📌 y' = 3x^2 - 12x + 9

📌 Set \( y' = 0 \):

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