Lesson 1
Solids of Rotation
Problem 1
Sketch the solid of rotation formed by rotating the given two-dimensional figure using the horizontal line shown as an axis of rotation.
Solution
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Problem 2
Draw a two-dimensional figure that could be rotated using a vertical axis of rotation to give the barrel shown.
Solution
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Problem 3
Match the two-dimensional figure and axis of rotation with the solid of rotation that can be formed by rotating the figure using that axis.
Solution
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Problem 4
Find the area of the shaded region.
Solution
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(From Unit 4, Lesson 11.)Problem 5
Technology required. Find the area of the figure.
Solution
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(From Unit 4, Lesson 11.)Problem 6
Technology required. This stop sign is a regular octagon. It has side lengths of 12 inches. What is the area? What is the perimeter?
![A stop sign.](https://cms-im.s3.amazonaws.com/94A4dkBs6fSsU9bkfnVVRN5W?response-content-disposition=inline%3B%20filename%3D%22Stop-02-Sign.png%22%3B%20filename%2A%3DUTF-8%27%27Stop-02-Sign.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T162123Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=3fce1db5369acbc871e1b2d0b97f13c55a4699523b7b9d7dd6b9dd20ddf2803c)
Solution
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(From Unit 4, Lesson 10.)Problem 7
Right triangle \(ABC\) is shown.
Select all expressions which are equal to the length of side \(BC\).
\(\sqrt{4.9^2+6^2}\)
\(\sqrt{6^2-4.9^2}\)
\(4.9\sin(55)\)
\(\frac{4.9}{\sin(55)}\)
\(4.9\tan(55)\)
\(\frac{4.9}{\tan(55)}\)
\(6\cos(55)\)
\(\frac{6}{\cos(55)}\)
Solution
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(From Unit 4, Lesson 6.)