Geometry B 9.5 Volume of Pyramid and Cones

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Mathematics
•
8th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula for the volume of a pyramid?
Back
Volume = (1/3) × Base Area × Height
2.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cone?
Back
Volume = (1/3) × π × Radius² × Height
3.
FLASHCARD QUESTION
Front
What is the base area of a triangle with a base of 6 cm and a height of 5 cm?
Back
Base Area = (1/2) × base × height = (1/2) × 6 cm × 5 cm = 15 cm²
4.
FLASHCARD QUESTION
Front
If the base area of a pyramid is 22.5 in² and the height is 12 in, what is the volume?
Back
Volume = (1/3) × 22.5 in² × 12 in = 90 in³
5.
FLASHCARD QUESTION
Front
What is the relationship between the radius and diameter of a circle?
Back
Diameter = 2 × Radius
6.
FLASHCARD QUESTION
Front
How do you find the height of a cone if you know the volume and the radius?
Back
Rearrange the volume formula: Height = (3 × Volume) / (π × Radius²)
7.
FLASHCARD QUESTION
Front
What is the volume of a cone with a radius of 3 cm and a height of 4 cm?
Back
Volume = (1/3) × π × (3 cm)² × (4 cm) ≈ 37.7 cm³
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