How many cubic inches are in a cylinder that is 8 inches tall with a radius of 2 inches?

Using the formula $$V = \text{π} r^2 h$$ , the volume is $$V = \text{π} (2^2)(8) = 32\text{π} \text{ in}^3 \text{ (approximately 100.53 in}^3)$$ .

What is the volume of a cylinder with a radius of 5 cm and a height of 12 cm?

Using the formula $$V = \text{π} r^2 h$$ , the volume is $$V = \text{π} (5^2)(12) = 300\text{π} \text{ cm}^3 \text{ (approximately 942.48 cm}^3)$$ .

If the volume of a cylinder is 100 cm³ and the radius is 2 cm, what is the height?

Using the formula $$V = \text{π} r^2 h$$ , we can rearrange it to find height: $$h = \frac{V}{\text{π} r^2} = \frac{100}{\text{π} (2^2)} = \frac{100}{4\text{π}} \text{ cm} \text{ (approximately 7.96 cm)}$$ .

What is the relationship between the diameter and radius of a cylinder?

The diameter is twice the radius: $$d = 2r$$ .

How do you convert the volume of a cylinder from cubic inches to cubic feet?

To convert from cubic inches to cubic feet, divide the volume in cubic inches by 1728 (since 1 cubic foot = 1728 cubic inches).

What is the volume of a cylinder with a radius of 1 inch and a height of 10 inches?

Using the formula $$V = \text{π} r^2 h$$ , the volume is $$V = \text{π} (1^2)(10) = 10\text{π} \text{ in}^3 \text{ (approximately 31.42 in}^3)$$ .

If a cylinder has a height of 7 cm and a volume of 154 cm³, what is the radius?

Using the formula $$V = \text{π} r^2 h$$ , we can rearrange it to find radius: $$r = \frac{\text{√}(V/\text{π})}{\text{√}h} = \text{√}\frac{154}{7\text{π}} \text{ cm} \text{ (approximately 2.25 cm)}$$ .

What is the volume of a cylinder with a radius of 4 inches and a height of 3 inches?

Using the formula $$V = \text{π} r^2 h$$ , the volume is $$V = \text{π} (4^2)(3) = 48\text{π} \text{ in}^3 \text{ (approximately 150.80 in}^3)$$ .

Volume of Cylinders Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

What does '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 '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

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

Back

Tags

CCSS.7.G.B.4

5.

FLASHCARD QUESTION

Front

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 2 feet and a height of 4 feet?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a diameter of 6 inches and a height of 10 inches?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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