Volume of a Cylinder
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the shape of a right circular cylinder?
Back
A right circular cylinder has two parallel circular bases connected by a curved surface at a fixed distance from the center.
2.
FLASHCARD QUESTION
Front
What is the formula to find the volume of a cylinder?
Back
V = πr²h, where V is the volume, r is the radius of the base, and h is the height.
3.
FLASHCARD QUESTION
Front
How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
Back
V = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.4 cm³.
4.
FLASHCARD QUESTION
Front
What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?
Back
V = π(4 cm)²(10 cm) = 160π cm³ ≈ 502.7 cm³.
5.
FLASHCARD QUESTION
Front
If the radius of a cylinder is doubled, how does the volume change?
Back
The volume increases by a factor of 4, since volume is proportional to the square of the radius.
6.
FLASHCARD QUESTION
Front
What is the height of a cylinder if its volume is 100 cm³ and the radius is 2 cm?
Back
Using V = πr²h, we have 100 = π(2)²h, so h = 100/(4π) ≈ 7.96 cm.
7.
FLASHCARD QUESTION
Front
What is the relationship between the radius and diameter of a cylinder?
Back
The diameter is twice the radius (d = 2r).
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