Volume of Cylinders, Cones, & Spheres
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
Wayground Content
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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
What is the formula for the volume of a sphere?
Back
The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
FLASHCARD QUESTION
Front
If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?
Back
The volume is V = π(3)²(5) = 45π cm³, approximately 141.37 cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
FLASHCARD QUESTION
Front
If a cone has a radius of 4 cm and a height of 6 cm, what is its volume?
Back
The volume is V = (1/3)π(4)²(6) = 32π cm³, approximately 100.53 cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
6.
FLASHCARD QUESTION
Front
If a sphere has a radius of 5 cm, what is its volume?
Back
The volume is V = (4/3)π(5)³ = (500/3)π cm³, approximately 523.6 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.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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