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Home » Use the formula for the sum of cubes: - Crankk.io

Use the formula for the sum of cubes: - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 So, the diameter of the circle is 17 meters, and the circumference is:

📌 C = \pi \times \text{diameter} = 17\pi \text{ meters}

📌 The circumference of the containment field is $ \boxed{17\pi} $.

📌 Question: An entrepreneur designs a conical storage tank for renewable energy fluid containment, where the cone has height $ h $ and base radius $ r $. If the volume of the cone is equal to the volume of a sphere of radius $ r $, what is the value of $ \frac{h}{r} $?

📌 Solution: The volume of a cone is $ \frac{1}{3}\pi r^2 h $, and the volume of a sphere is $ \frac{4}{3}\pi r^3 $. Setting them equal:

📌 \frac{1}{3}\pi r^2 h = \frac{4}{3}\pi r^3

📌 Divide both sides by $ \frac{1}{3}\pi r^2 $:

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