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

The volume is $$V = \frac{4}{3} \text{π} (3^3) = 36\text{π} \text{ in}^3$$ , approximately 113.1 in³.

How do you calculate the volume of a cylinder?

To calculate the volume of a cylinder, use the formula $$V = \text{π} r^2 h$$ .

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

The volume is $$V = \frac{1}{3} \text{π} (5^2)(12) = \frac{300}{3}\text{π} = 100\text{π} \text{ cm}^3$$ , approximately 314.2 cm³.

What is the volume of a cylinder with a height of 10 inches and a radius of 3 inches?

The volume is $$V = \text{π} (3^2)(10) = 90\text{π} \text{ in}^3$$ , approximately 282.7 in³.

What is the volume of a sphere with a radius of 4 inches?

The volume is $$V = \frac{4}{3} \text{π} (4^3) = \frac{256}{3}\text{π} \text{ in}^3$$ , approximately 268.1 in³.

If a cone has a volume of 30 in³ and a height of 6 inches, what is its radius?

Using the formula $$V = \frac{1}{3} \text{π} r^2 h$$ , we can solve for r: $$r = \text{sqrt}(\frac{30 \times 3}{\text{π} \times 6})$$ .

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

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

Volume of cylinders, cones and spheres Flashcards

Student preview

14 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 is the formula for the volume of a cone?

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

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

5.

FLASHCARD QUESTION

Front

Which unit is NOT appropriate for measuring volume?

Back

Square miles is NOT appropriate for measuring volume; it measures area.

Tags

CCSS.3.MD.A.2

6.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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