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📰 Rationalize the denominator: 📰 \]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 $. 📰 Solution: The volume of a sphere is given by $ V = \frac{4}{3} \pi r^3 $. Differentiating with respect to time $ t $, we get: 📰 You Wont Believe What Channel 3 Revealed About The Storm Calling Your Area 2902212 📰 Roblox Rebirth Champions Ultimate 📰 Unlock Epic Dirt Bike Games That Will Take Your Racing Skills To A New Level 3694373 📰 This New Mario Game Will Shake The Gaming World Are You Ready 2847487 📰 Wells Fargo Glenolden Pa 📰 Investigation Reveals Etrian Odyssey 3 And Experts Investigate 📰 You Wont Believe How Easy This Game Isplay It Right Now 3309404 📰 10 Low Carb Keto Fruits That Will Boost Your Diet Crazy Healthy Secret Revealed 533927 📰 Applovin Share 📰 How To Transfer Windows To Another Drive 📰 Nio Singapore 📰 Reading Speeds Average 📰 Wrap Text In Excel Like A Pro 5 Simple Hacks You Need To Try 2674709 📰 Matt Brown Stuart Florida The Shocking Truth Behind Their Florida Code Breakthrough 1206963 📰 Jamie Lee Curtis Sexy 3861125