Volume & Pythagorean Theorem Review
Flashcard
•
Mathematics
•
8th Grade
•
Hard
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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.
2.
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.
3.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².
4.
FLASHCARD QUESTION
Front
How do you find the distance traveled using the Pythagorean Theorem?
Back
To find the distance traveled in a right triangle, use the Pythagorean Theorem: distance = √(a² + b²), where a and b are the lengths of the two legs.
5.
FLASHCARD QUESTION
Front
What is the volume of a sphere with a radius of 2 feet?
Back
Using the formula V = (4/3)π(2)³, the volume is approximately 33.51 ft³.
6.
FLASHCARD QUESTION
Front
What is the relationship between the diameter and radius of a sphere?
Back
The diameter of a sphere is twice the radius: diameter = 2 × radius.
7.
FLASHCARD QUESTION
Front
What is the square root of a number?
Back
The square root of a number x is a value that, when multiplied by itself, gives x. It is denoted as √x.
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