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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. Where would Archimedes sketch his diagrams when he was in his workroom?
(a) In sand on the floor.
(b) On pieces of cloth.
(c) On papyrus.
(d) On a clay tablet.

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

3. What is the work that is to be done with a lever called?
(a) Force.
(b) Resistance.
(c) Energy.
(d) Fulcrum.

4. What field of mathematics is necessary to create rockets and space travel?
(a) Calculus.
(b) Algebra.
(c) Trigonometry.
(d) Computation.

5. What did the King order after Archimedes moved his ship?
(a) A statue be built of Archimedes.
(b) A medal be designed for Archimedes.
(c) Archimedes receive a reward.
(d) Archimedes always be believed.

Short Answer Questions

1. 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?

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

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 space or volume would the cylinder take up compared to the sphere?

4. What is the solid of a circle?

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

(see the answer key)

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