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Galileo and Scaling

Dive into Galileo's physics puzzles! Calculate distances, areas, and volumes to solve intriguing questions on spheres and circles. Test your knowledge and sharpen your math skills with these brain-teasing challenges.

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Galileo and Scaling

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  1. Galileo and Scaling Physics 109

  2. Imagine the earth a perfect sphere, with a rope just fitting around the equator. Another rope, 60 feet longer, is placed above the first rope, the same distance above it all the way around. How far above, approximately? • About one inch • About one foot • About ten feet

  3. What fraction of the areaof a circle is occupied by another circle of half the radius? • one-quarter • One third • 1/π

  4. How many solid spheres of diameter one inch are needed to balance one sphere of the same material of radius two inches? • 2 • 4 • 8

  5. How much paint is needed to paint eight one-inch spheres compared to one two-inch sphere? • The same amount • Twice as much • Four times as much

  6. The surface area of your lungs is approximately: • 5 square meters • 15 • 25 • 50 • 100

  7. A flea the size of a man could jump about: • 1 meter • 10 • 100

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