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

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

What is the total surface area of a cylinder with a radius of 3 inches and a height of 7 inches?

Using the formula $$SA = 2\pi r(h + r)$$ , the total surface area is approximately 188.5 in².

What is the difference between the volume and surface area of a cylinder?

Volume measures the space inside the cylinder, while surface area measures the total area of the cylinder's outer surface.

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

The area (A) of the base of a cylinder is given by: $$A = \pi r^2$$ .

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

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

What is the total surface area of a cylinder with a radius of 4 inches and a height of 5 inches?

The total surface area is approximately 226.9 in².

What is the formula for the volume of a cylinder in terms of diameter?

The volume can also be expressed as: $$V = \frac{\pi d^2}{4} h$$ where d is the diameter.

What is the significance of the height in the volume of a cylinder?

The height determines how tall the cylinder is, affecting the overall volume; a taller cylinder has a greater volume.

SURFACE AREA OF CYLINDERS Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

What does the term 'cylinder' refer to in geometry?

Back

A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.

3.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder?

Back

4.

FLASHCARD QUESTION

Front

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

Back

Pi (π) is approximately 3.14 and is the ratio of the circumference of a circle to its diameter.

5.

FLASHCARD QUESTION

Front

If a cylinder has a radius of 5 inches and a height of 10 inches, what is its volume?

Back

6.

FLASHCARD QUESTION

Front

What is the lateral surface area of a cylinder?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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