What is the formula for the lateral area of a cone?
Lateral Area and Surface Area of cones

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The lateral area (LA) of a cone is given by the formula: LA = πrl, where r is the radius of the base and l is the slant 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(r + l), where r is the radius of the base and l is the slant height.
3.
FLASHCARD QUESTION
Front
Define 'slant height' in the context of a cone.
Back
Slant height (l) is the distance from the top of the cone to the edge of the base along the side of the cone.
4.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the height of a cone?
Back
The radius (r) is the distance from the center of the base to its edge, while the height (h) is the perpendicular distance from the base to the apex of the cone.
5.
FLASHCARD QUESTION
Front
How do you calculate the lateral area of a cone with a radius of 5 cm and a slant height of 10 cm?
Back
Using the formula LA = πrl, LA = π(5)(10) = 50π cm², which is approximately 157.08 cm².
6.
FLASHCARD QUESTION
Front
If a cone has a radius of 3 m and a slant height of 4 m, what is its lateral area?
Back
LA = πrl = π(3)(4) = 12π m², which is approximately 37.70 m².
7.
FLASHCARD QUESTION
Front
What is the lateral area of a cone with a radius of 7 in and a slant height of 8 in?
Back
LA = πrl = π(7)(8) = 56π in², which is approximately 175.84 in².
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