What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

First, find the radius: r = 5 cm. Then, use the formula $$V = \text{πr}^2h$$ . The volume is $$V = \text{π}(5)^2(7) = 175\text{π} \text{ cm}^3 \text{ (approximately 549.78 cm}^3)$$ .

How do you convert the volume of a sphere from cubic centimeters to cubic meters?

To convert from cubic centimeters to cubic meters, divide by 1,000,000 (1 m^3 = 1,000,000 cm^3).

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

Using the formula $$V = \frac{1}{3} \text{πr}^2h$$ , the volume is $$V = \frac{1}{3} \text{π}(3)^2(9) = 27\text{π} \text{ cm}^3 \text{ (approximately 84.82 cm}^3)$$ .

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

Using the formula $$V = \frac{4}{3} \text{πr}^3$$ , the volume is $$V = \frac{4}{3} \text{π}(5)^3 = \frac{500}{3}\text{π} \text{ cm}^3 \text{ (approximately 523.60 cm}^3)$$ .

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

Using the formula $$V = \text{πr}^2h$$ , the volume is $$V = \text{π}(2)^2(10) = 40\text{π} \text{ cm}^3 \text{ (approximately 125.66 cm}^3)$$ .

If the volume of a cone is 100 cm³ and the height is 5 cm, how do you find the radius?

Use the formula $$V = \frac{1}{3} \text{πr}^2h$$ . Rearranging gives $$r = \text{sqrt}\frac{3V}{\text{π}h}$$ .

What is the volume of a sphere with a diameter of 6 cm?

First, find the radius: r = 3 cm. Then, use the formula $$V = \frac{4}{3} \text{πr}^3$$ . The volume is $$V = \frac{4}{3} \text{π}(3)^3 = 36\text{π} \text{ cm}^3 \text{ (approximately 113.10 cm}^3)$$ .

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

Using the formula $$V = \text{πr}^2h$$ , the volume is $$V = \text{π}(4)^2(3) = 48\text{π} \text{ cm}^3 \text{ (approximately 150.80 cm}^3)$$ .

FLASHCARD: Volume of Cylinder, Sphere, and Cone 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

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 is the value of π (Pi) used in volume calculations?

Back

The value of π (Pi) is approximately 3.14.

5.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

6.

FLASHCARD QUESTION

Front

If a sphere has a radius of 4 cm, what is its volume?

Back

7.

FLASHCARD QUESTION

Front

What is the relationship between the radius and height of a cone if the volume is known?

Back

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