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Home » Base of exponential: \( 1.08 \), which means 8% annual growth - Crosslake

Base of exponential: \( 1.08 \), which means 8% annual growth - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 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 1 meter is completely submerged in the tank, by how many cubic meters does the water level rise?

📌 The volume of the cylinder is π × radius² × height = π × 3² × 10 = 90π cubic meters.

📌 The volume of the sphere is (4/3)π × radius³ = (4/3)π × 1³ = (4/3)π cubic meters.

📌 When the sphere is submerged, the water level rises by the volume of the sphere divided by the base area of the cylinder:

📌 Rise in water level = (4/3)π / (π × 3²) = (4/3)π / 9π = 4/27 meters.

📌 #### 0.148 (approximately)

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