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📰 A cone with height 12 cm and base radius 5 cm is filled with water. The water flows out through a small hole at the bottom at a rate proportional to the square root of the water height. If the outflow rate is \( k\sqrt{h} \), where \( k = 0.2 \, \text{cm}^{1.5}/\text{min} \), what is the height of water after 10 minutes? 📰 Volume of cone: \( V = \frac{1}{3}\pi r^2 h \); by similar triangles, \( r = \frac{5}{12}h \). 📰 So \( V = \frac{1}{3}\pi \left(\frac{5}{12}h\right)^2 h = \frac{25\pi}{432} h^3 \). 📰 Compare Cell Phone Plans 3419742 📰 Unlock Epic Xbox Racing Games The Fastest Picks Guaranteed To Blow Your Mind 9984312 📰 How Old Is Hailey Bieber 1356279 📰 Text Windows 📰 You Wont Believe The Best Winona Ryder Movies Youve Missed Forever 4986060 📰 Master Sharepoint Advanced Management In Minutesrevolutionize Your Workflows 3356124 📰 The Ultimate Salada Song That Everyones Posting Onlinetry This Recipe Now 5797541 📰 From Ghosts To Godssupernatural Series 7 Drops Must Watch Moments That Defy Belief 8231408 📰 Refill Water 5097537 📰 Aliens In Fiction 5118785 📰 Alien Swarm Attack Ben 10S Most Spectacular Transformation Yet Heres What Happened 2017472 📰 Verizon Deals Internet 📰 Cypress At Trinity Groves Dallas Tx 75212 365436 📰 Make Way Steam 📰 How Long Is Half Time In Football 4376740