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

2. What books did Archimedes send to friends in Alexandria with deliberate errors?
(a) On Conoids and Spheroids.
(b) The Sphere and the Cylinder.
(c) The Quadrature of the Parabola.
(d) On the Measurement of a Circle.

3. What is the solid of a rectangle?
(a) Sphere.
(b) Box.
(c) Tetrahedron.
(d) Cube.

4. Which branch of mathematics had the groundwork for its development laid by Archimedes?
(a) Geometry.
(b) Calculus.
(c) Trigonometry.
(d) Algebra.

5. What type of mathematics must engineers use to build bridges?
(a) Applied Mathematics.
(b) Geometry.
(c) Trigonometry.
(d) Arithmetic.

Short Answer Questions

1. Where would Archimedes sketch his diagrams when he was sitting by the fire in the evening?

2. What did Archimedes claim he could move if he had a place to stand?

3. What is not an example of a lever?

4. What is the meaning of the Greek word "mathema" from which mathematics is derived?

5. What was Archimedes favorite branch of mathematics?

(see the answer key)

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