What is the volume of a cylinder with a radius of 2 m and a height of 10 m?

$$V = \pi (2^2)(10) = 40\pi \approx 125.7 m^3$$ .

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

$$A = \pi r l$$ where l is the slant height.

What is the volume of a pyramid with a base area of 20 m² and a height of 9 m?

$$V = \frac{1}{3} (20)(9) = 60 m^3$$ .

What is the formula for the slant height of a cone?

$$l = \sqrt{r^2 + h^2}$$ where r is the radius and h is the height.

What is the volume of a cone with a radius of 5 cm and a height of 12 cm?

$$V = \frac{1}{3} \pi (5^2)(12) = 100\pi \approx 314.2 cm^3$$ .

What is the area of a circle with a diameter of 10 cm?

$$A = \pi (\frac{10}{2})^2 = 25\pi \approx 78.5 cm^2$$ .

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

The volume of the cone is one-third that of the cylinder: $$V_{cone} = \frac{1}{3} V_{cylinder}$$ .

Practice #29 - Volume of Pyramid and Cones Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

4.

FLASHCARD QUESTION

Front

How do you calculate the volume of a pyramid?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the volume of a cone with a radius of 3 m and a height of 5 m?

Back

7.

FLASHCARD QUESTION

Front

What is the area of a circle with a radius of 4 cm?

Back

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