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Home » 60ml to Ounces: The Ultimate Chase for Accurate Conversion Every Time! - Dyverse

60ml to Ounces: The Ultimate Chase for Accurate Conversion Every Time! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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}

📌 The volume of water displaced by the sphere equals the volume of the sphere.

📌 The cross-sectional area of the tank's base is:

📌 A_{\text{base}} = \pi (3)^2 = 9\pi \, \text{square meters}

📌 The rise in water level \( h \) is given by the displaced volume divided by the base area:

📌 h = \frac{V_{\text{sphere}}}{A_{\text{base}}} = \frac{\frac{32}{3} \pi}{9\pi} = \frac{32}{27} \, \text{meters}

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