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Home » x^2 - x - 6 = 0 - Ready Digital AB

x^2 - x - 6 = 0 - Ready Digital AB

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 5**Question:** A biomimetic metabolic engineering researcher is modeling a spherical cell with radius \( r \) units and a cylindrical nutrient chamber with radius \( r \) units and height \( 3r \) units. What is the ratio of the volume of the sphere to the volume of the cylinder?

📌 The volume \( V_s \) of a sphere with radius \( r \) is given by:

📌 V_s = \frac{4}{3} \pi r^3

📌 The volume \( V_c \) of a cylinder with radius \( r \) and height \( 3r \) is:

📌 V_c = \pi r^2 \cdot 3r = 3\pi r^3

📌 The ratio of the volume of the sphere to the volume of the cylinder is:

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