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📰 Solution: The triangle with sides 9, 12, and 15 is a right triangle since $9^2 + 12^2 = 81 + 144 = 225 = 15^2$. The area is $\frac{1}{2} \times 9 \times 12 = 54$. The longest altitude corresponds to the shortest side (9 units). Using the formula for altitude $h = \frac{2 \times \text{Area}}{\text{base}}$, we calculate $h = \frac{2 \times 54}{9} = 12$. \boxed{12} 📰 Question: A pharmacologist models a drug capsule as a cylinder with hemispherical ends, where the total length is 10 units and the radius is 2 units. What is the volume of the capsule? 📰 Solution: The capsule consists of a cylinder of height $10 - 2 \times 2 = 6$ units (subtracting the hemispheres) and two hemispheres (equivalent to one sphere). Volume of the cylinder: $\pi r^2 h = \pi \times 2^2 \times 6 = 24\pi$. Volume of the sphere: $\frac{4}{3}\pi r^3 = \frac{4}{3}\pi \times 8 = \frac{32}{3}\pi$. Total volume: $24\pi + \frac{32}{3}\pi = \frac{104}{3}\pi$. \boxed{\dfrac{104}{3}\pi} 📰 Iphone 14 Plus Verizon 1962426 📰 The Arrangement Is 3 Permutations Since All Flowers Are Distinct 2172786 📰 Cheat Codes For The Ballad Of Gay Tony 1314047 📰 5 Gallon Jug Of Water Weight 6344658 📰 Never Guess Again The Shocking Trick To Type Small Numbers Fast 7589116 📰 Breaking Chrysler Ticker Is Set To Surgefind Out Why Now 2335461 📰 Otis Hotel Austin 2085056 📰 511 Shocking High Protein Lunch Ideas Guaranteed To Boost Energy Muscle Growth Dont Miss These 274825 📰 The Shocking Discovery 1946 Wheat Penny Sold For Over 10000 5235536 📰 Spam Nutrition Facts 9871189 📰 Clogged Ear Remedy 6188372 📰 Pynchon Gravitys Rainbow 1049718 📰 The Fastest Way To Add Data In Excel Watch Before You Miss It 691970 📰 This Mysterious Misfire Is Causing Chaosdont Wait Until Your Car Returns Home Uninvited 9916612 📰 Youre Misidentifying Mushroomsheres What Youre Getting Wrong This Will Change Everything 5489228