What is the volume of a cylinder with a radius of 4 cm and a height of 15 cm?

Using the formula $$V = \text{π} r^2 h$$ , the volume is $$V = \text{π} (4)^2 (15) = 240\text{π}$$ cubic centimeters.

What happens to the volume of a cylinder if the radius is doubled?

If the radius is doubled, the volume increases by a factor of four, since volume is proportional to the square of the radius.

What is the formula for the lateral surface area of a cylinder?

The lateral surface area A of a cylinder is given by the formula: $$A = 2\text{π} r h$$ .

If a cylinder has a volume of 50π cubic inches, what could be its possible dimensions?

Possible dimensions could be a radius of 5 inches and a height of 2 inches, since $$V = \text{π} (5)^2 (2) = 50\text{π}$$ .

What is the significance of the height in the volume of a cylinder?

The height determines how tall the cylinder is, affecting the overall volume; a taller cylinder with the same base area has a greater volume.

How do you convert the volume of a cylinder from cubic centimeters to liters?

To convert cubic centimeters to liters, divide the volume in cubic centimeters by 1000, since 1 liter = 1000 cubic centimeters.

What is the effect of increasing both the radius and height of a cylinder on its volume?

Increasing both the radius and height will increase the volume significantly, as both dimensions contribute to the volume calculation.

What is the volume of a cylinder with a radius of 2 cm and a height of 10 cm?

Using the formula $$V = \text{π} r^2 h$$ , the volume is $$V = \text{π} (2)^2 (10) = 40\text{π}$$ cubic centimeters.

Cylinder Volume Practice Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula to find the volume of a cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

What does the variable 'r' represent in the volume formula of a cylinder?

Back

'r' represents the radius of the base of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FLASHCARD QUESTION

Front

What does the variable 'h' represent in the volume formula of a cylinder?

Back

'h' represents the height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

What is the approximate value of π?

Back

The approximate value of π is 3.14.

Tags

CCSS.HSG.GMD.A.1

5.

FLASHCARD QUESTION

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is the volume?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

How do you calculate the area of the base of a cylinder?

Back

Tags

CCSS.7.G.B.4

7.

FLASHCARD QUESTION

Front

What is the relationship between the volume of a cylinder and its height?

Back

The volume of a cylinder is directly proportional to its height; if the height increases while the radius remains constant, the volume increases.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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