Density is defined as mass per unit volume, expressed as $$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$$ .

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

Using the formula $$V = \frac{1}{3}Bh$$ , the volume is approximately 150.8 cm³.

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

Using the formula $$V = \frac{4}{3}\text{π}r^3$$ , the volume is approximately 904.32 cm³.

If a cylinder has a height of 10 cm and a base radius of 2 cm, what is its volume?

The volume is calculated as $$V = \text{π}(2^2)(10) = 40\text{π} \text{ cm}^3$$ , approximately 125.66 cm³.

What is the volume of a cube with a side length of 3 cm?

The volume of a cube is calculated as $$V = s^3$$ , where s is the side length. Thus, the volume is 27 cm³.

How does increasing the height of a cylinder affect its volume?

Increasing the height of a cylinder increases its volume proportionally, as volume is directly related to height in the formula $$V = \text{π}r^2h$$ .

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

First, find the radius (5 cm). Then, using the formula $$V = \frac{4}{3}\text{π}r^3$$ , the volume is approximately 523.6 cm³.

What is the formula for the volume of a triangular prism?

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

If two cylinders have the same base radius but different heights, how do their volumes compare?

The cylinder with the greater height will have a greater volume, as volume is directly proportional to height.

Unit 7: Volume and Density 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 find the volume of a cone?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

4.

FLASHCARD QUESTION

Front

What is density?

Back

5.

FLASHCARD QUESTION

Front

How do you calculate the volume of a rectangular prism?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between volume and density?

Back

7.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

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