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This quiz consists of 5 multiple choice and 5 short answer questions through Chapter 11, The Sphere and the Cylinder.

Multiple Choice Questions

1. What is the point on which the lever turns or moves?
(a) Force.
(b) Center point.
(c) Resistance.
(d) Fulcrum.

2. To what did a series of ropes and wheels run from King Hiero's ship?
(a) A parabola.
(b) A hyperbola.
(c) A helix.
(d) An ellipse.

3. If you took a sphere and made a cylinder whose base was the greatest circle of the sphere and whose height was the diameter of the sphere, how much larger would the surface of the cylinder be than the surface of the sphere?
(a) 6 times.
(b) 1 1/2 times.
(c) 2 1/2 times.
(d) 8 times.

4. What did Archimedes want on his tomb?
(a) A figure of a sphere and cylinder.
(b) Drawing of a cylinder.
(c) Drawing of a sphere.
(d) Drawings of plane figures.

5. When Archimedes worked with a sphere and cylinder, he figured the ratio or relationship of the cylinder to the sphere was ___________.
(a) 3/2.
(b) 10/9.
(c) 7/6.
(d) 6/5.

Short Answer Questions

1. What type of mathematics must engineers use to build bridges?

2. Which branch of mathematics had the groundwork for its development laid by Archimedes?

3. In what book did Archimedes give mathematicians a logical way to start any problem and an orderly way of setting things down?

4. Which branch of mathematics deals with motion and change?

5. What is the solid of a triangle?

(see the answer key)

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