Geom_Week 17_Activity 2: Missing Dimensions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
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 sphere?
Back
The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
2.
FLASHCARD QUESTION
Front
If the ratio of the lengths of the radii of two spheres is 3:5, what is the ratio of their volumes?
Back
The ratio of the volumes of the two spheres is 27:125.
3.
FLASHCARD QUESTION
Front
What happens to the volume of a cylinder if the radius is doubled while keeping the height constant?
Back
If the radius is doubled, the volume of the cylinder increases by a factor of 4, since volume V = πr²h.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
FLASHCARD QUESTION
Front
How do you find the ratio of the volumes of two spheres given their radii?
Back
The ratio of the volumes of two spheres is the cube of the ratio of their radii.
5.
FLASHCARD QUESTION
Front
What is the relationship between the volume of a sphere and its radius?
Back
The volume of a sphere increases with the cube of its radius.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
6.
FLASHCARD QUESTION
Front
If the volumes of two spheres are in a ratio of 1:8, what is the ratio of their radii?
Back
The ratio of their radii is 1:2.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
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 and h is the height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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