
Volume of Cylinders
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cylinder?
Back
Volume = π × r² × h, where r is the radius and h is the height.
2.
FLASHCARD QUESTION
Front
What does 'π' represent in the volume formula?
Back
π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.
3.
FLASHCARD QUESTION
Front
If a cylinder has a radius of 3 cm and a height of 10 cm, what is its volume?
Back
Volume = π × (3 cm)² × (10 cm) = 94.2 cm³ (rounded to the nearest tenth).
4.
FLASHCARD QUESTION
Front
How do you convert the volume from cubic centimeters to cubic inches?
Back
1 cm³ = 0.0610237 in³. Multiply the volume in cm³ by 0.0610237 to convert to in³.
5.
FLASHCARD QUESTION
Front
What is the volume of a cylinder with a radius of 4 inches and a height of 5 inches?
Back
Volume = π × (4 in)² × (5 in) = 62.8 in³ (rounded to the nearest tenth).
6.
FLASHCARD QUESTION
Front
What is the significance of the height in the volume of a cylinder?
Back
The height determines how tall the cylinder is, affecting the total volume of space it occupies.
7.
FLASHCARD QUESTION
Front
If a cylinder is filled to half its height, how does that affect its volume?
Back
The volume is halved since volume is directly proportional to height.
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