Volume of Cylinders and Cones

Volume of Cylinders and Cones

Assessment

Flashcard

Mathematics

8th Grade

Hard

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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

V = πr²h, where r is the radius and h is the height.

2.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 5 units and a height of 10 units?

Back

V = π(5)²(10) = 250π ≈ 785.4 units³.

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

4.

FLASHCARD QUESTION

Front

What is the volume of a cone with a radius of 3 units and a height of 9 units?

Back

V = (1/3)π(3)²(9) = 27π ≈ 84.8 units³.

5.

FLASHCARD QUESTION

Front

What does the symbol π represent in volume formulas?

Back

π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of a circle's circumference to its diameter.

6.

FLASHCARD QUESTION

Front

How do you find the volume of a cylinder?

Back

Multiply the area of the base (πr²) by the height (h).

7.

FLASHCARD QUESTION

Front

If a cylinder has a volume of 1000 units³ and a height of 10 units, what is the radius?

Back

Using V = πr²h, we find r = √(V/(πh)) = √(1000/(π*10)) ≈ 5.64 units.

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