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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. What scientist do most people believe was the first to understand the laws of gravitation?

2. When Archimedes worked with a sphere and cylinder, he figured the ratio or relationship of the cylinder to the sphere was ___________.

3. What does radius mean?

4. What books did Archimedes send to friends in Alexandria with deliberate errors?

5. How much larger did Archimedes believe that the universe (all the stars) was than the Greek universe?

Short Essay Questions

1. Where is the earth's center of gravity?

2. What are some reasons why Archimedes is held in such high esteem by mathematicians?

3. What did Archimedes set out to prove in "The Sand Reckoner"?

4. Why isn't the center of gravity always at the center of an object?

5. Describe Carthage.

6. What is a chain reaction in a nuclear explosion?

7. What did Archimedes consider to be his most important work?

8. How did Archimedes estimate the number of grains that would fill the universe?

9. Why did Marcellus watch the battle for Syracuse with tears in his eyes?

10. What practical joke did Archimedes play on his friends in Alexandria?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Archimedes wanted to be more exact than mathematicians before him when figuring the area of a circle. Discuss different methods that Archimedes, mathematicians before him, and mathematicians after him have used to find the area of a circle.

Essay Topic 2

Discuss how and why Archimedes created the Archimedean screw.

Essay Topic 3

Compare and contrast life in Archimedes' time to life today.

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