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📰 Question: A space station includes a spherical observation dome with radius $ 3r $ and a conical observation tower with base radius $ r $ and height $ 4r $. What is the ratio of the volume of the cone to the sphere? 📰 Question: A historical sundial has a circular face with radius $ y $, and a rectangular gnomon inscribed in the circle such that its diagonal equals the diameter. If the square base of the gnomon has side length $ s $, what is the area of the rectangle in terms of $ y $? 📰 Solution: The problem involves distributing 4 distinct objects into 2 identical boxes. This corresponds to the sum of Stirling numbers of the second kind for 2 boxes, considering non-empty subsets. The formula is $ S(4,1) + S(4,2) $. Here, $ S(4,1) = 1 $ (all groups in one zone) and $ S(4,2) = 7 $ (split into two non-empty groups). Thus, the total number of ways is $ 1 + 7 = 8 $. 📰 Ryuji Sakamoto Hides That Will Blow Your Mindcomplete Biography Inside 6384916 📰 Limited Time Offer Download This Free Phone Number App Keep It Secure 7801078 📰 Learn The Hilarious Trick To Master How To Calculate Adjusted Gross Income You Wont Believe 3 3501253 📰 St Moses The Black 5494746 📰 Youll Copy And Paste Like A Pro In 30 Secondsclick To Learn Fast 2066287 📰 Business Logo Maker 4713211 📰 You Deserve A Neat Bakeunwrap Liners That Turn Every Cupcake Into A Showstopper Treat 6459634 📰 Combine Microsoft Accounts 4675505 📰 Which Shocking Kai Cenat Haircut Changed Streets Forever 7611518 📰 Free Rally 2 Heres Why Youre Adding It To Your Top Games List 2031181 📰 Flights To Japan Round Trip 5508868 📰 Alkaloids 3758417 📰 Poet Technologies 3346065 📰 Sylvan Table 8476081 📰 Doodle Farm 4119434