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On this day today, 58... - Tia Margarita Mexican Restaurant

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On this day today, 58... - Tia Margarita Mexican Restaurant
Menu of Tia Margarita pub & bar, San Francisco - reviews and ratings
Menu of Tia Margarita pub & bar, San Francisco - reviews and ratings
Tia Margarita - Mexican Restaurant - Phone Number - Hours - Photos ...
Tia Margarita - Mexican Restaurant - Phone Number - Hours - Photos ...

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Question: A renewable energy microgrid uses a hemispherical solar reflector with radius $ 2x $ and a cylindrical battery storage tank with radius $ x $ and height $ 4x $. 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 r^3 = \frac{2}{3}\pi (2x)^3 = \frac{16}{3}\pi x^3 $. The cylinder's volume is $ \pi r^2 h = \pi x^2 \cdot 4x = 4\pi x^3 $. The ratio is $ \frac{\frac{16}{3}\pi x^3}{4\pi x^3} = \frac{16}{3} \div 4 = \frac{4}{3} $. Thus, the ratio is $ \boxed{\dfrac{4}{3}} $.
Question: A meteorologist models a storm's boundary as a circle enclosing a 3 cm by 4 cm rectangular sensor array. What is the circumference of the circle?

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