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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: 📰 Shareowneronline 8120443 📰 Bates County Live 7530784 📰 Archival Snapshot Soc Stock Surpasses 70Is This The Start Of A Massive Rally 3273216 📰 Hyvee Marketplace Grill 1169568 📰 Edportal Just Shocked Students This Powerful Tool Boosts Grades Instantly 9511445 📰 Gn 8 Changed Everything Witness The Secret Plot No One Spoke Of 6727264 📰 Perhaps The Sum Is 1150 Or 1260 But Its 1200 3847386 📰 This Simple Trick Stops Error 1068 Before It Ruins Your Day 8522654 📰 You Wont Believe The Easy Way To Delete A Cell In Excelget It Done Instantly 8737895 📰 Soxl Stock Price Today Is This The Breakthrough Moment Weve All Been Waiting 8364654 📰 Asian Big Tits Social Media Stars Spark Controversy Crave Whats Hidden 8159914 📰 White Chicks Costume Hacks That Are Trending Save These For Halloween Tonight 4423156 📰 Barringer Hs Newark 3575494 📰 Free Online Games To Play 9020114 📰 Unveiled Sex Chocolate Tabs That Deliver Unreal Intimacy Like Never Before 9765975