What is the approximate radius of a cylinder with a volume of 185.2 cm³ and height 13 cm?

The radius is approximately $$2.13 \text{ cm}$$ .

What is the relationship between diameter and radius?

The diameter is twice the radius: $$d = 2r$$ .

What units are used for measuring volume?

Common units for volume include cubic centimeters (cm³), cubic meters (m³), and cubic feet (ft³).

What is the significance of using exact pi in volume calculations?

Using exact pi (π) provides a precise value in calculations, avoiding rounding errors.

How does the height of a cone affect its volume?

The volume of a cone is directly proportional to its height; increasing height increases volume.

What is the base area of a cone with a radius of 3 ft?

The base area is $$\text{π}r^2 = \text{π}(3^2) = 9\text{π} \text{ ft}^2$$ .

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

The volume is $$\frac{1}{3} \times \text{π}(3^2)(4) = 12\text{π} \text{ ft}^3$$ .

What is the difference between the volume of a cone and a cylinder with the same base and height?

The volume of a cone is one-third that of a cylinder with the same base and height: $$V_{cone} = \frac{1}{3}V_{cylinder}$$ .

Volume Flashcard Flashcards

Student preview

15 questions

Show all answers

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 cylinder?

Back

3.

FLASHCARD QUESTION

Front

What is the volume of a cone with a height of 12 ft and a diameter of 6 ft?

Back

4.

FLASHCARD QUESTION

Front

If the volume of a cone is 1,436.03 ft³ and the radius is 84 in, how do you find the height?

Back

5.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 6 ft and a volume of 226.08 ft³?

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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