What is the formula for the volume of a cylinder?
Volume of Cylinders and Cones

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
V = πr²h, where r is the radius and h is the height.
2.
FLASHCARD QUESTION
Front
What is the volume of a cylinder with a radius of 5 units and a height of 10 units?
Back
V = π(5)²(10) = 250π ≈ 785.4 units³.
3.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cone?
Back
V = (1/3)πr²h, where r is the radius and h is the height.
4.
FLASHCARD QUESTION
Front
What is the volume of a cone with a radius of 3 units and a height of 9 units?
Back
V = (1/3)π(3)²(9) = 27π ≈ 84.8 units³.
5.
FLASHCARD QUESTION
Front
What does the symbol π represent in volume formulas?
Back
π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of a circle's circumference to its diameter.
6.
FLASHCARD QUESTION
Front
How do you find the volume of a cylinder?
Back
Multiply the area of the base (πr²) by the height (h).
7.
FLASHCARD QUESTION
Front
If a cylinder has a volume of 1000 units³ and a height of 10 units, what is the radius?
Back
Using V = πr²h, we find r = √(V/(πh)) = √(1000/(π*10)) ≈ 5.64 units.
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