What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

$$V = \frac{1}{3} \text{pi} (4^2)(9) = 48\text{pi} \text{ cm}^3$$ .

What is the approximate volume of a cylinder with a radius of 7 cm and height of 15 cm using pi = 3.14?

$$V \text{ (approx)} = 3.14(7^2)(15) = 329.85 \text{ cm}^3$$ .

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

$$V = \frac{4}{3} \text{pi} (5^3) = \frac{500}{3}\text{pi} \text{ cm}^3$$ .

If a cone has a volume of 84 cm³, what could be its height if the radius is 3 cm?

@@V = rac{1}{3} ext{pi} (3^2) h = 84 ightarrow h = rac{84 imes 3}{ ext{pi} imes 9} ext{ cm}@@.

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 that of the cylinder: $$V_{cone} = \frac{1}{3} V_{cylinder}$$ .

How do you express the volume of a cylinder in terms of pi?

Use the formula: $$V = \text{pi} r^2 h$$ .

What is the volume of a cone expressed in terms of pi if the radius is 2 cm and height is 6 cm?

$$V = \frac{1}{3} \text{pi} (2^2)(6) = \frac{24}{3}\text{pi} = 8\text{pi} \text{ cm}^3$$ .

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

$$V = \text{pi} (3^2)(4) = 36\text{pi} \text{ cm}^3$$ .

Volume Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

4.

FLASHCARD QUESTION

Front

What does 'volume' measure?

Back

Volume measures the amount of space an object occupies.

5.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder using pi?

Back

6.

FLASHCARD QUESTION

Front

If the radius of a cylinder is 5 cm and the height is 10 cm, what is the volume?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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