Surface area of cylinders, cones, and spheres

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the surface area of a cylinder?
Back
The surface area (SA) of a cylinder is given by the formula: SA = 2πr(h + r), where r is the radius and h is the height.
2.
FLASHCARD QUESTION
Front
What is the formula for the surface area of a cone?
Back
The surface area (SA) of a cone is given by the formula: SA = πr(l + r), where r is the radius and l is the slant height.
3.
FLASHCARD QUESTION
Front
What is the formula for the surface area of a sphere?
Back
The surface area (SA) of a sphere is given by the formula: SA = 4πr², where r is the radius.
4.
FLASHCARD QUESTION
Front
How do you calculate the radius from the diameter?
Back
The radius (r) is half of the diameter (d): r = d/2.
5.
FLASHCARD QUESTION
Front
If a cylinder has a height of 10 inches and a radius of 3 inches, what is its surface area?
Back
SA = 2π(3)(10 + 3) = 2π(3)(13) = 78π ≈ 245.04 in².
6.
FLASHCARD QUESTION
Front
What is the surface area of a sphere with a radius of 5 inches?
Back
SA = 4π(5)² = 4π(25) = 100π ≈ 314.16 in².
7.
FLASHCARD QUESTION
Front
What is the slant height of a cone if the height is 4 inches and the radius is 3 inches?
Back
Use the Pythagorean theorem: l = √(r² + h²) = √(3² + 4²) = √(9 + 16) = √25 = 5 inches.
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