If the height of a cylinder is doubled, how does that affect the volume?

If the height is doubled, the volume also doubles, since volume is directly proportional to height.

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Using the formula: $$V = \text{π} r^2 h = \text{π} (5^2)(10) = 785.4 \text{ cm}^3$$ .

What is the significance of π in the volume formula of a cylinder?

π (pi) is a constant that represents the ratio of the circumference of a circle to its diameter, essential for calculating areas and volumes involving circles.

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

To convert diameter to radius, divide the diameter by 2: $$r = \frac{d}{2}$$ .

What is the volume of a cylinder with a radius of 4 inches and a height of 5 inches?

The volume is calculated as: $$V = \text{π} r^2 h = \text{π} (4^2)(5) = 80\text{π} \text{ in}^3 \text{ or approximately } 251.3 \text{ in}^3$$ .

What happens to the volume of a cylinder if both the radius and height are halved?

If both the radius and height are halved, the volume is reduced to one-fourth of the original volume.

What is the formula for the lateral surface area of a cylinder?

The lateral surface area (A) is given by the formula: $$A = 2\text{π} r h$$ .

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

Rearranging the volume formula: $$h = \frac{V}{\text{π} r^2}$$ .

Volume of Cylinders Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

2.

FLASHCARD QUESTION

Front

What does 'B' represent in the volume formula V = Bh?

Back

'B' represents the area of the base of the cylinder.

3.

FLASHCARD QUESTION

Front

How do you calculate the area of the base of a cylinder with radius r?

Back

4.

FLASHCARD QUESTION

Front

If a cylinder has a radius of 3 inches and a height of 9 inches, what is its volume?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

How do you find the volume of a cylinder with a diameter of 11 inches and a height of 4 inches?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the circumference of the base of a cylinder?

Back

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