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

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

3. What is the formula to find the volume of a cube?
(a) Multiply length by width by height.
(b) Multiply length by width.
(c) Two times the length plus the height.
(d) Add all the sides together.

4. What is the work done on a lever called?
(a) Fulcrum.
(b) Energy.
(c) Force.
(d) Resistance.

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

Short Answer Questions

1. What type of lever has the force at one end, the resistance at the other end, and the fulcrum in between?

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

3. What did the King order after Archimedes moved his ship?

4. What was Archimedes favorite branch of mathematics?

5. What dimensions does a plane figure have?

(see the answer key)

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