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Home » Volume of cylinder: \( V = \pi r^2 h \) - Midis

Volume of cylinder: \( V = \pi r^2 h \) - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 4x^2 + 70x - 350 = 0

📌 Divide by 2:

📌 2x^2 + 35x - 175 = 0

📌 Using the quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \):

📌 a = 2, \, b = 35, \, c = -175

📌 x = \frac{-35 \pm \sqrt{35^2 - 4 \times 2 \times (-175)}}{4}

📌 x = \frac{-35 \pm \sqrt{1225 + 1400}}{4} = \frac{-35 \pm \sqrt{2625}}{4}

📌 \sqrt{2625} \approx 51.23

🔥 Popular Posts

Since \(a^2 + b^2 = \cos^2 x + \sin^2 x = 1\), the expression simplifi...
+ 4 + \frac{1}{a^2} + \frac{1}{b^2} = 5 + \frac{1}{a^2} + \frac{1}{b^2...
We apply the AM-GM inequality to \(\frac{1}{a^2} + \frac{1}{b^2}\):
\frac{1}{a^2} + \frac{1}{b^2} \geq \frac{2}{ab}
Given \(a^2 + b^2 = 1\), the maximum of \(ab\) is \(\frac{1}{2}\) when...
ab = \frac{1}{2} \quad \Rightarrow \quad \frac{1}{a^2} + \frac{1}{b^2}...
Therefore, the expression becomes:
+ 4 = 9
Verification at \(x = \frac{\pi}{4}\) shows \(\cos x = \sin x = \frac{...
Thus, the minimum value is \(\boxed{9}\).

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