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📰 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} 📰 Question: A quantum microbial network dynamics researcher studies a triangular microbial community with side lengths 7, 8, and 9 units. What is the radius of the inscribed circle? 📰 Bank Of America Grants Login 📰 Crown Gambit Steam 📰 Notary Public In Bank Of America 📰 The Killing Fields 9165879 📰 Youve Been Brushing Wrong Xylitol Toothpaste Holds The Key To Stronger Enamel And Healthier Gums 9553702 📰 Pale Fire Nabokov 📰 Where Can I Deposit A Check 6583693 📰 Fortnite Glitching Today 📰 Big Discovery Is Fragpunk Free And The Story Unfolds 📰 10 Incredibly Fun Dog Games Thatll Have Your Pup Barking Happy 7284248 📰 Photo Genius Reveals The Secret Shots That Professional Editors Miss 1388561 📰 E By Increasing Ticket Sales Through Music Alone 4046283 📰 Lou Henry Hoover 6730839 📰 Verizon Repeater For Home 📰 Oracle Conf 5328825