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

The surface area is calculated as $$2\pi(3)(7) + 2\pi(3)^2 = 188.4 m^2$$ .

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

If the radius is doubled, the surface area increases by a factor of four, since surface area is proportional to $$r^2$$ .

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

The lateral surface area of a cylinder is given by the formula: $$2\pi rH$$ .

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 6 and a height of 4?

The total surface area is calculated as $$2\pi(6)(4) + 2\pi(6)^2 = 376.99 m^2$$ .

What is the effect of increasing both the radius and height of a cylinder on its volume?

Increasing both the radius and height will increase the volume significantly, as both factors are multiplied in the volume formula.

If a cylinder has a volume of 1000 units³ and a radius of 5, what is its height?

Using the formula $$H = \frac{V}{\pi r^2}$$ , the height is approximately 12.73 units.

What is the surface area of a cylinder with a radius of 2 and a height of 5?

The surface area is calculated as $$2\pi(2)(5) + 2\pi(2)^2 = 62.83 m^2$$ .

Volume and surface area of cylinders Flashcard

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder?

Back

3.

FLASHCARD QUESTION

Front

What does the symbol π represent in the context of cylinders?

Back

The symbol π (pi) represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

4.

FLASHCARD QUESTION

Front

If a cylinder has a radius of 4 and a height of 3, what is its surface area?

Back

5.

FLASHCARD QUESTION

Front

What is the total surface area of a cylinder with a height of 10 and a radius of 5?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

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

Back

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