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## Galileo and Scaling

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**Galileo and Scaling**Physics 109**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**What fraction of the areaof a circle is occupied by another**circle of half the radius? • one-quarter • One third • 1/π**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**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**The surface area of your lungs is approximately:**• 5 square meters • 15 • 25 • 50 • 100**A flea the size of a man could jump about:**• 1 meter • 10 • 100