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Home » a_4 = a_3 + a_2 = 5 + 3 = 8 \\ - DNSFLEX

a_4 = a_3 + a_2 = 5 + 3 = 8 \\ - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A cylindrical tank with a radius of 3 meters and height of 5 meters is filled with water. What is the volume of the water in cubic meters?

📌 Substitute \( r = 3 \) meters and \( h = 5 \) meters: \( V = \pi \times 3^2 \times 5 \).

📌 Simplify to \( V = 45\pi \) cubic meters.

📌 Using \( \pi \approx 3.14159 \), \( V \approx 45 \times 3.14159 = 141.37155 \) cubic meters.

📌 Solve for \( x \) in the equation \( 2x^2 - 4x - 6 = 0 \).

📌 Use the quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), where \( a = 2 \), \( b = -4 \), \( c = -6 \).

📌 \( x = \frac{-(-4) \pm \sqrt{64}}{2 \times 2} = \frac{4 \pm 8}{4} \).

📌 Solutions are \( x = \frac{4 + 8}{4} = 3 \) and \( x = \frac{4 - 8}{4} = -1 \).

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