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📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Thus, the area of the uncovered part of the petri dish is:

📌 An ichthyologist is analyzing the habitat of a fish species in an aquarium shaped like a rectangular tank. The tank measures 80 cm by 60 cm and is filled with water up to a height of 50 cm. A solid spherical rock with a radius of 10 cm is submerged in the tank. What is the change in the water level in the tank, in centimeters, after the rock is submerged? Express your answer as a decimal.

📌 First, calculate the volume of the spherical rock using the formula for the volume of a sphere:

📌 The radius of the rock is 10 cm, so:

📌 Next, determine how this volume of water affects the water level in the tank. The volume of water displaced equals the volume of the rock:

📌 Thus, the change in the water level is approximately:

📌 Rationalize the denominator or approximate numerically. First, approximate:

📌 Alternatively, using the formula for the inradius of a triangle with two sides and included angle:

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