Volume of Cones and Cylinders
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cylinder?
Back
The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
2.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cone?
Back
The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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
Using the formula V = πr²h, V = π(3)²(5) = 45π cm³, approximately 141.37 cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
FLASHCARD QUESTION
Front
How do you calculate the volume of a cone with a radius of 3 cm and a height of 5 cm?
Back
Using the formula V = (1/3)πr²h, V = (1/3)π(3)²(5) = 15π cm³, approximately 47.12 cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
FLASHCARD QUESTION
Front
What is the value of π (Pi) used in calculations?
Back
The value of π (Pi) is approximately 3.14.
Tags
CCSS.HSG.GMD.A.1
6.
FLASHCARD QUESTION
Front
If a cylinder has a radius of 4 cm and a height of 10 cm, what is its volume?
Back
Using the formula V = πr²h, V = π(4)²(10) = 160π cm³, approximately 502.65 cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
FLASHCARD QUESTION
Front
What is the relationship between the volume of a cone and a cylinder with the same base and height?
Back
The volume of the cone is one-third the volume of the cylinder with the same base and height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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