What is the formula for the volume of a cylinder?

The volume of a cylinder is given by the formula: $$V = \text{pi} \times r^2 \times h$$ .

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

Using the formula for the volume of a sphere: $$V = \frac{4}{3} \times \text{pi} \times 5^3 = \frac{500}{3}\text{pi} \text{ in}^3$$ .

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

First, find the radius: $$r = \frac{12}{2} = 6 \text{ feet}$$ . Then, use the formula: $$V = \text{pi} \times r^2 \times h = \text{pi} \times 6^2 \times 8 = 288\text{pi} \text{ ft}^3$$ .

How do you find the height of a cone if you know the volume and radius?

Rearranging the volume formula: $$V = \frac{1}{3} \times \text{pi} \times r^2 \times h$$ gives $$h = \frac{3V}{\text{pi} \times r^2}$$ .

What is the volume of a cylinder with a radius of 5 feet and a height of 2 feet?

Using the formula: $$V = \text{pi} \times r^2 \times h = \text{pi} \times 5^2 \times 2 = 50\text{pi} \text{ ft}^3$$ .

What is the total volume of two spheres with a radius of 5 inches?

Using the formula for the volume of a sphere: $$V = \frac{4}{3} \times \text{pi} \times r^3$$ , the total volume is $$2 \times \frac{4}{3} \times \text{pi} \times 5^3 = \frac{500}{3}\text{pi} \text{ in}^3$$ .

What is the formula for converting cubic inches to cubic feet?

To convert cubic inches to cubic feet, divide by 1728 (since 1 cubic foot = 1728 cubic inches).

What is the volume of a cone with a radius of 9 cm and a height of 12 cm?

Using the formula: $$V = \frac{1}{3} \times \text{pi} \times 9^2 \times 12 = 324\text{pi} \text{ cm}^3$$ .

7th Honors Volume Test A MtM Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

2.

FLASHCARD QUESTION

Front

How do you calculate the volume of a sphere?

Back

3.

FLASHCARD QUESTION

Front

What is the volume of a cylinder?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

How do you convert cubic feet to gallons?

Back

To convert cubic feet to gallons, multiply by 7.48 (since 1 cubic foot = 7.48 gallons).

7.

FLASHCARD QUESTION

Front

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

Back

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