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📰 Question: A carbon nanotube is modeled as a cylinder with radius $ r $ and height $ h $. If its lateral surface area equals the area of a circle with radius $ 2r $, what is the ratio $ \frac{h}{r} $? 📰 Solution: The lateral surface area of a cylinder is $ 2\pi r h $. The area of a circle with radius $ 2r $ is $ \pi (2r)^2 = 4\pi r^2 $. Setting them equal: $ 2\pi r h = 4\pi r^2 $. Cancel $ 2\pi r $ to get $ h = 2r $. Thus, the ratio $ \frac{h}{r} = \boxed{2} $. 📰 Question: A circle is inscribed in a square with side length $ s $. What is the ratio of the circle’s area to the square’s area, expressed in terms of $ \pi $? 📰 You Wont Believe What This Materialist Movie Reveals About Greedand Destruction 4705363 📰 The Ultimate Java Arrays Guide Secrets Tips And Tricks To Boost Your Skills 8560647 📰 Nelliel Sparks Welchexcitement The Shocking Truth About This Unique Name 646980 📰 Wells Fargo Verify Account 📰 Question In Environmental Law What Is The Primary Purpose Of A Mitigation Plan For A Development Project 5939626 📰 You Wont Stop Watching As Mr Popo Surprises The World In 1 Moment 6604168 📰 Critical Evidence Rbx Center Com And The Truth Finally Emerges 📰 Are Waiter Jobs Around Me Waiting For You 2372495 📰 This Secret Has Set Off A Trend No One Could Ignoreyou Need To Know How 9808873 📰 This Simple Fix Can Save Your Stair Banister From Catastrophic Collapse 921954 📰 Compare Iphones Verizon 📰 Cvs Eye Drops 7670372 📰 Raev Kingdom On The Distant Shores 📰 Delta De Roblox 📰 Visual Studio Enterprise Subscription