What is the volume of a cylinder with a height of 30 cm and a radius of 5 cm?

Using the formula $$V = \text{π}r^2h$$ , the volume is: $$V = \text{π}(5^2)(30) = 750\text{π} \text{ cm}^3 \approx 2357.48 \text{ cm}^3$$ .

If a cylinder has a volume of 100 cm³ and a height of 10 cm, what is the radius?

Using the formula $$V = \text{π}r^2h$$ , rearranging gives: $$r = \frac{\text{V}}{\text{π}h} = \frac{100}{\text{π}(10)} \text{ cm} \approx 3.18 \text{ cm}$$ .

What is the volume of a cylinder with a diameter of 10 cm and a height of 30 cm?

First, find the radius: $$r = \frac{10}{2} = 5 \text{ cm}$$ . Then, use the formula: $$V = \text{π}(5^2)(30) = 750\text{π} \text{ cm}^3 \approx 2357.48 \text{ cm}^3$$ .

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

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

How do you calculate the volume of a cylinder with a known radius and height?

Use the formula: $$V = \text{π}r^2h$$ , where r is the radius and h is the height.

What is the volume of a cylinder with a radius of 7 cm and a height of 4 cm?

Using the formula $$V = \text{π}r^2h$$ , the volume is: $$V = \text{π}(7^2)(4) = 196\text{π} \text{ cm}^3 \approx 615.75 \text{ cm}^3$$ .

If a cylinder has a height of 15 cm and a radius of 3 cm, what is its volume?

Using the formula $$V = \text{π}r^2h$$ , the volume is: $$V = \text{π}(3^2)(15) = 135\text{π} \text{ cm}^3 \approx 423.91 \text{ cm}^3$$ .

Volume of Cylinders Flashcards

Student preview

14 questions

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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

How do you find the radius from the diameter of a cylinder?

Back

Tags

CCSS.7.G.B.4

3.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

If a cylinder has a height of 10 cm and a radius of 4 cm, what is its volume?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 12 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

What is the capacity of a cylinder with a radius of 2 in and a height of 3 in?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

How do you convert the diameter of a cylinder to radius?

Back

Tags

CCSS.7.G.B.4

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