Three-dimensional geometry formulas review
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula for the lateral surface area of a cylinder?
Back
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
2.
FLASHCARD QUESTION
Front
How do you calculate the volume of a cylinder?
Back
Volume = πr²h, where r is the radius and h is the height.
3.
FLASHCARD QUESTION
Front
What is the formula for the total surface area of a cylinder?
Back
Total Surface Area = 2πr(h + r), where r is the radius and h is the height.
4.
FLASHCARD QUESTION
Front
If a cylinder has a radius of 4 inches and a height of 10 inches, what is its volume?
Back
Volume = π(4)²(10) = 160π cubic inches.
5.
FLASHCARD QUESTION
Front
What is the volume of a cylinder with a diameter of 12 inches and a height of 5 inches?
Back
Volume = π(6)²(5) = 180π cubic inches.
6.
FLASHCARD QUESTION
Front
How do you find the height of a cylinder if you know the volume and radius?
Back
Height = Volume / (πr²).
7.
FLASHCARD QUESTION
Front
What is the relationship between diameter and radius?
Back
Diameter = 2 × Radius.
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