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Home » So \( V = \frac13\pi \left(\frac512h\right)^2 h = \frac25\pi432 h^3 \). - AMAZONAWS

So \( V = \frac13\pi \left(\frac512h\right)^2 h = \frac25\pi432 h^3 \). - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
So \( V = \frac{1}{3}\pi \left(\frac{5}{12}h\right)^2 h = \frac{25\pi}{432} h^3 \).

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📌 Since \( a < 0 \), the parabola opens downward, so the maximum occurs at the vertex: \( t = -\frac{b}{2a} = -\frac{150}{2(-5)} = 15 \) seconds.

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