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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: 📰 The Hunt For The Lost Crown Prince Of Persias Ultimate Secret Exposed 3152440 📰 Borat English Movie 5463300 📰 500 Times 24 12000 7265234 📰 Microsoft 365 Email Essentials The Secrets To Smarter Faster Work Emails Revealed 8128252 📰 The Hidden Fireazing Feature In Spotplayer You Didnt Know Existed 4557523 📰 Def 90 9044731 📰 Welcome To A Dead Calm Night That Turns Deadlyyou Didnt See This Coming 3085469 📰 She Was Stunning In Black Leggingspeople Are Obsessed With Her Hidden Outfit 3647524 📰 Unlock The Secret To Perfect Subscripts The Thrilling Secret Youve Been Missing 5993938 📰 Dewey Beach 6956553 📰 Delete Account Microsoft 7067575 📰 Kadabra Just Exploded Back Onlineyou Wont Believe What Its Capable Of 5143781 📰 Johnson University 9631474 📰 Frank Abignale 5054938 📰 Novartis Ag Stock Soars To Record Highheres Why Investors Are Obsessed 6308779