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Home » V_{\textsphere} = \frac43 \pi r^3 - 500apps

V_{\textsphere} = \frac43 \pi r^3 - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 x = \frac{39 \pm 33}{4}

📌 The possible solutions are:

📌 x = \frac{72}{4} = 18 \quad \text{(not possible, as it exceeds half the garden's width)}

📌 x = \frac{6}{4} = 1.5

📌 Therefore, the width of the path is 1.5 meters.

📌 A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If a solid metal sphere with a radius of 2 meters is submerged in the tank, by how much will the water level rise?

📌 First, calculate the volume of the sphere:

📌 V_{\text{sphere}} = \frac{4}{3} \pi (2)^3 = \frac{32}{3} \pi \, \text{cubic meters}

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\frac{6}{3} \geq \frac{3}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}}
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