If a cylinder has a height of 4 m and a diameter of 4 m, what is its volume?

The volume is $$16\text{π} m^3$$ .

What is the volume of a cone with a radius of 7 ft and a volume of 196π ft³?

The height of the cone is 12 ft.

How do you calculate the volume of a cylinder with a known height and diameter?

Use the formula: $$V = \text{π} \times \frac{d^2}{4} \times h$$ .

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

The volume is $$12\text{π} ft^3$$ .

If the radius of a cylinder is doubled, how does the volume change?

The volume increases by a factor of four, since volume is proportional to the square of the radius.

What is the volume of a sphere with a radius of 3 ft?

The volume is $$36\text{π} ft^3$$ .

How do you convert the diameter of a cylinder to radius?

Divide the diameter by 2: $$r = \frac{d}{2}$$ .

What is the volume of a cone with a radius of 5 cm and a height of 6 cm?

The volume is $$25\text{π} cm^3$$ .

Study Guide Volume Cylinder, Cone & Sphere 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 height of a cylinder if the volume and radius are known?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

7.

FLASHCARD QUESTION

Front

What is the value of π (pi) used in calculations?

Back

The value of π is approximately 3.14.

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