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Day 2: 42.9 → 43 - AMAZONAWS
Day 2: 42.9 → 43 - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 C = 2\pi r = 2\pi \cdot \frac{13}{2} = 13\pi
📌 \]Question: A weather balloon is modeled as a sphere with radius $ r $ meters, and it ascends such that its volume increases at a rate proportional to $ \sin \theta $, where $ \theta $ is the angle of elevation from the ground. If the volume increase rate is given by $ \frac{dV}{dt} = k \sin \theta $, and $ \theta = 60^\circ $, compute the rate of volume increase in terms of $ k $ and $ r $.
📌 Wait — to match format, and since original problems use exact integers, perhaps revise interpretation.
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