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📰 Question: A hydrologist models a groundwater reservoir as a hemisphere with radius $ 3x $ and compares it to a cylindrical aquifer with radius $ x $ and height $ 3x $. What is the ratio of the hemisphere's volume to the cylinder's volume? 📰 Solution: The volume of a hemisphere is $ \frac{2}{3}\pi (3x)^3 = \frac{2}{3}\pi 27x^3 = 18\pi x^3 $. The cylinder's volume is $ \pi x^2 \cdot 3x = 3\pi x^3 $. The ratio is $ \frac{18\pi x^3}{3\pi x^3} = \boxed{6} $. 📰 Question: A hydrologist observes a circular drainage basin with area $ 100\pi \, \text{km}^2 $. If the radius decreases by 2 km due to sedimentation, by how many square kilometers does the area decrease? 📰 Your Life Will Change Foreverstop Forwarding Mail And Win Big 7729505 📰 Unleash Speed Style Need For Speed Carbon Redefines The Electric Driving Zone 7152492 📰 Abs Lymph 8013220 📰 This Smoke Changes Everythingwithout A Single Drop Of Sauce 3348363 📰 Open New Account 278347 📰 From Flappers To Fame The Untold Mae West Tale You Have To See 8530074 📰 Natural Gas Storage Report 1195496 📰 Free Golf Games For Instant Fun Why Youll Never Want To Stop Playing 2012103 📰 She Wasnt Just An Advocateoleksandra Zelenskas Hidden War Was Real 4654832 📰 Nktr Shocking Surprise Yahoo Finance Reveals Unbelievable Market Move Today 2130766 📰 Stop Struggling With Plurals Master Simply Plural In Minutes 524853 📰 Pepperidge Farm Reveals A Heartbreaking Tribute To A Beloved Recipe That Changed Us All 4638093 📰 Plugin That Cracks Every Crypto Coins Secret The Ultimate Coin Identifier 1423066 📰 No Interest Balance Transfer 6938076 📰 Massage In Your Pocket The Ultimate Masseur App Silently Revolutionizing Wellness 8600977