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Lesson Plans and Worksheets for Grade 8
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More Lessons for Grade 8
Common Core For Grade 8
Examples, solutions and videos to help Grade 8 students learn how to use the Pythagorean Theorem to determine an unknown dimension of a cone or a sphere.
Lesson 19 Student Outcomes
Lesson 19 Summary
The volume formula for a right square pyramid is 1/3 Bh, where B is the area of the square base.
Given the lateral length and the length of the radius, the Pythagorean Theorem can be used to determine the height of the cone.
Lesson 19 Classwork
Opening Exercises
Note: Figures not drawn to scale.
Example 1
State as many facts as you can about a cone.
Exercises
3. What is the lateral length of the cone shown below?
4. Determine the exact volume of the cone shown below.
5. What is the lateral length (slant height) of the pyramid shown below? Give an exact square root answer and an approximate answer rounded to the tenths place.
6. Determine the volume of the pyramid shown below. Give an exact answer using a square root.
7. What is the length of the chord of the sphere shown below? Give an exact answer using a square root.
8. What is the length of the chord of the sphere shown below? Give an exact answer using a square root.
9. What is the volume of the sphere shown below? Give an exact answer using a square root.
10. What is the volume of the sphere shown below? Give an exact answer using a square root.
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