Math III EOC Review #1
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a circle's equation?
Back
The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
2.
FLASHCARD QUESTION
Front
How do you find the radius of a circle from its equation?
Back
To find the radius, rewrite the circle's equation in standard form and identify r from (x - h)² + (y - k)² = r².
3.
FLASHCARD QUESTION
Front
What is the center of a circle in the equation x² + y² - 8x + 10y - 8 = 0?
Back
The center is (4, -5).
4.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cone?
Back
The volume V of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.
5.
FLASHCARD QUESTION
Front
Calculate the volume of a cone with a diameter of 8 cm and height of 18 cm.
Back
The volume is 96π cm³.
6.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cylinder?
Back
The volume V of a cylinder is V = πr²h, where r is the radius and h is the height.
7.
FLASHCARD QUESTION
Front
If the volume of a cylinder is 150 in³ and the radius is 4 in, how do you find the height?
Back
Use the formula h = V / (πr²). For this cylinder, h = 150 / (π * 4²) = 3 inches.
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