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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: 📰 Tesla Stock Price Set To Skyrocket In April 2025Heres How High It Will Climb 2478549 📰 From Zero To Wealth The Shocking Steps To Have More Money Now 8235496 📰 South Park The Stick Of Truth South Park 104392 📰 Air Fryer Okra The Crispy Hide And Seek Secret Everyones Trying 9013101 📰 Hotel Water Filtration 2056464 📰 Discover The Secret Superpower Of Dandelion Comunitea You Wont Believe What It Does For Your Health 5290207 📰 Truth Revealed How The Bmw E30S That 300 Hp Was Built For Red Dropping Watch Now 3104283 📰 How Many Calories In Steak 6640900 📰 The Untold Truth About Charizard X That No Trainer Has Ever Seen 1987117 📰 Shocking Flash Games That Trigger Viral Attentionplay Here Now 1811268 📰 Parallels Desktop 3503543 📰 Verizon Wireless Network Extender 848079 📰 Holiday Inn Portland Airport I 205 By Ihg 9857720 📰 This Percussion Steel Pan Will Shock Musicians Nationwide 8625674 📰 Globalstar Inc Stock Alert Market Introducing A Stock Poised For 10X Gainheres Why 6777245