What is the volume of a sphere with a radius of 5 ft?

Using the formula $$V = \frac{4}{3} \times \text{π} \times r^3$$ , the volume is approximately 523.6 ft³.

What is the volume of a cylinder with a diameter of 6 inches and a height of 12 inches?

First, find the radius: $$r = \frac{6}{2} = 3$$ inches. Then, using the formula $$V = \text{π} \times r^2 \times h$$ , the volume is approximately 113.1 in³.

What is the volume of a cone with a base radius of 4.5 inches and a height of 32 inches?

Using the formula $$V = \frac{1}{3} \times \text{π} \times (4.5)^2 \times 32$$ , the volume is approximately 201.1 in³.

What is the volume of a sphere with a diameter of 10 cm?

First, find the radius: $$r = \frac{10}{2} = 5$$ cm. Then, using the formula $$V = \frac{4}{3} \times \text{π} \times (5)^3$$ , the volume is approximately 523.6 cm³.

What is the volume of a cone with a height of 12 cm and a base radius of 3 cm?

Using the formula $$V = \frac{1}{3} \times \text{π} \times (3)^2 \times 12$$ , the volume is approximately 37.7 cm³.

What is the volume of a cylinder with a radius of 5 inches and a height of 15 inches?

Using the formula $$V = \text{π} \times (5)^2 \times 15$$ , the volume is approximately 392.7 in³.

What is the volume of a cone with a base radius of 2 inches and a height of 6 inches?

Using the formula $$V = \frac{1}{3} \times \text{π} \times (2)^2 \times 6$$ , the volume is approximately 8.4 in³.

What is the volume of a sphere with a radius of 3 m?

Using the formula $$V = \frac{4}{3} \times \text{π} \times (3)^3$$ , the volume is approximately 113.1 m³.

Volume Flashcards

Student preview

15 questions

Show all answers

1.

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

2.

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

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.7.G.B.4

5.

FLASHCARD QUESTION

Front

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

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Tags

CCSS.3.MD.A.2

6.

FLASHCARD QUESTION

Front

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

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 radius of 4 inches and a height of 10 inches?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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