What is the formula for the volume of a sphere?

The formula for the volume of a sphere is $$V = \frac{4}{3} \text{π} r^3$$ , where r is the radius.

How do you find the volume of a cylinder if you only know the height and the volume?

You can rearrange the formula $$V = \text{π} r^2 h$$ to find the radius: $$r = \frac{\text{V}}{\text{π} h}$$ .

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

$$V = \frac{1}{3} \text{π} (3)^2 (4) = \frac{36}{3} \text{π} = 12\text{π} \text{ in}^3 \text{ or approximately } 37.70 \text{ in}^3$$ .

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

$$V = \text{π} (2)^2 (10) = 40\text{π} \text{ m}^3 \text{ or approximately } 125.66 \text{ m}^3$$ .

What is the volume of a cone with a diameter of 6 cm and a height of 9 cm?

First, find the radius: $$r = \frac{6}{2} = 3 \text{ cm}$$ . Then, $$V = \frac{1}{3} \text{π} (3)^2 (9) = 27\text{π} \text{ cm}^3 \text{ or approximately } 84.82 \text{ cm}^3$$ .

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

$$V = \text{π} (4)^2 (15) = 240\text{π} \text{ cm}^3 \text{ or approximately } 753.98 \text{ cm}^3$$ .

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

$$V = \frac{1}{3} \text{π} (5)^2 (12) = 100\text{π} \text{ cm}^3 \text{ or approximately } 314.16 \text{ cm}^3$$ .

What is the formula for the volume of a cylinder in terms of diameter?

The formula for the volume of a cylinder in terms of diameter d is $$V = \frac{\text{π}}{4} d^2 h$$ .

Review Volume of Cylinders and Cones Flashcards

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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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

How do you find the radius of a cylinder if you know the diameter?

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

What is the formula for the volume of a cone?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

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 10 cm and a height of 20 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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