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Home » The half-life formula is $ t_1/2 = \frac\ln(2)k $. - Blask

The half-life formula is $ t_1/2 = \frac\ln(2)k $. - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Simplifying, \(8w = 64\), so \(w = 8\).

📌 The length is \(3 \times 8 = 24\).

📌 The area is \(w \times 3w = 8 \times 24 = 192\).

📌 A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If a spherical ball with a radius of 1 meter is submerged in the tank, how much will the water level rise?

📌 The volume of the sphere is \(\frac{4}{3} \pi (1)^3 = \frac{4}{3} \pi\).

📌 The cross-sectional area of the cylinder is \(\pi (3)^2 = 9\pi\).

📌 The rise in water level is \(\frac{\frac{4}{3} \pi}{9\pi} = \frac{4}{27}\) meters.

📌 #### \(\frac{4}{27}\)

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