Volume of Spheres
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+2
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
What does the symbol π (Pi) represent in mathematics?
Back
π (Pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.
Tags
CCSS.HSG.GMD.A.1
3.
FLASHCARD QUESTION
Front
If the radius of a sphere is doubled, how does the volume change?
Back
If the radius is doubled, the volume increases by a factor of 8, since volume is proportional to the cube of the radius.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
FLASHCARD QUESTION
Front
Calculate the volume of a sphere with a radius of 3 cm using π = 3.14.
Back
The volume is V = (4/3) * 3.14 * (3)³ = 113.04 cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
FLASHCARD QUESTION
Front
What is the volume of a sphere with a radius of 7 m?
Back
Using the formula V = (4/3)πr³, the volume is V = (4/3) * 3.14 * (7)³ = 1436.76 m³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
6.
FLASHCARD QUESTION
Front
How do you convert the volume of a sphere from cubic inches to cubic centimeters?
Back
To convert cubic inches to cubic centimeters, multiply by 16.387 (1 in³ = 16.387 cm³).
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
FLASHCARD QUESTION
Front
What is the volume of a sphere with a radius of 10 inches?
Back
Using the formula V = (4/3)πr³, the volume is V = (4/3) * 3.14 * (10)³ = 4186.67 in³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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