What is the volume of a cylinder with a diameter of 4 cm and a height of 6 cm?

First, find the radius: $$r = \frac{4}{2} = 2 \text{ cm}$$ . Then, use the volume formula: $$V = \text{π}(2^2)(6) = 24\text{π} \text{ cm}^3$$ .

If the volume of a cylinder is 30π cm³ and the height is 5 cm, what is the radius?

Using the volume formula, $$30\text{π} = \text{π}r^2(5)$$ . Solving for r gives @@r^2 = 6 ightarrow r = ext{√}6 ext{ cm}@@.

What is the volume of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm?

The volume is calculated as $$V = 4 \times 5 \times 6 = 120 \text{ cm}^3$$ .

What is the formula for the volume of a prism?

The volume of a prism is given by the formula: $$V = \text{Base Area} \times \text{Height}$$ .

How do you compare the volumes of two cylinders?

To compare volumes, calculate each cylinder's volume using $$V = \text{π}r^2h$$ and compare the results.

What is the volume of a cylinder with a radius of 1 cm and a height of 10 cm?

The volume is $$V = \text{π}(1^2)(10) = 10\text{π} \text{ cm}^3$$ .

If a rectangular prism has a volume of 420 cm³, a length of 12 cm, and a width of 7 cm, what is the height?

Using the formula, height is $$h = \frac{420}{12 \times 7} = 5 \text{ cm}$$ .

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

The volume is $$V = \text{π}(3^2)(4) = 36\text{π} \text{ cm}^3$$ .

Volume of Cylinders and Prisms 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

How do you calculate the volume of a rectangular prism?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

How do you find the height of a rectangular prism if you know the volume, length, and width?

Back

7.

FLASHCARD QUESTION

Front

What is the volume of a cereal box that is 12 cm tall with a base area of 7 cm²?

Back

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