What is the formula for the lateral surface area of a cylinder?
Lesson 10.2 Surface Area of Cylinders

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Lateral Surface Area = 2πrh, where r is the radius and h is the height.
2.
FLASHCARD QUESTION
Front
How do you calculate the total surface area of a cylinder?
Back
Total Surface Area = 2πr(h + r), where r is the radius and h is the height.
3.
FLASHCARD QUESTION
Front
What does 'lateral surface area' refer to in the context of a cylinder?
Back
Lateral surface area refers to the area of the curved surface of the cylinder, excluding the top and bottom bases.
4.
FLASHCARD QUESTION
Front
If a cylinder has a diameter of 6 inches, what is its radius?
Back
The radius is half of the diameter, so the radius is 3 inches.
5.
FLASHCARD QUESTION
Front
What is the height of a cylinder if its lateral surface area is 100 in² and the radius is 5 inches?
Back
Using the formula 100 = 2π(5)h, the height h can be calculated as h = 100 / (10π) ≈ 3.18 inches.
6.
FLASHCARD QUESTION
Front
What is the lateral surface area of a cylinder with a radius of 4 cm and a height of 10 cm?
Back
Lateral Surface Area = 2π(4)(10) = 80π cm² ≈ 251.33 cm².
7.
FLASHCARD QUESTION
Front
What is the total surface area of a cylinder with a radius of 2 m and a height of 5 m?
Back
Total Surface Area = 2π(2)(5 + 2) = 2π(2)(7) = 28π m² ≈ 87.96 m².
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