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

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

3. Whom did Archimedes enjoy arguing with regarding whether pure reason was better than practical knowledge?
(a) Conon.
(b) Erastosthenes.
(c) King Hiero.
(d) Apollonius.

4. What is the study of shapes in space?
(a) Arithmetic.
(b) Geometry.
(c) Algebra.
(d) Applied Mathematics.

5. 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 space or volume would the cylinder take up compared to the sphere?
(a) 1 1/2 times.
(b) 4 times.
(c) 3 1/2 times.
(d) 6 times.

Short Answer Questions

1. What did Archimedes write about mathematics?

2. Which type of mathematics do architects needs to plan buildings?

3. What is the solid of a circle?

4. 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?

5. What field of mathematics is necessary to create rockets and space travel?

(see the answer key)

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