What is the formula for the volume of a pyramid?

The volume of a pyramid is given by the formula: $$V = \frac{1}{3}Bh$$ , where B is the area of the base and h is the height.

How do you find the area of the base of a cylinder?

The area of the base of a cylinder is calculated as: $$B = \pi r^2$$ , where r is the radius of the base.

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

The volume is calculated as: $$V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi (5^2)(10) = \frac{250}{3}\pi \approx 261.80 cm^3$$ .

What is the volume of a triangular prism with a base area of 10 cm² and height of 4 cm?

The volume is calculated as: $$V = Bh = 10 \times 4 = 40 cm^3$$ .

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

The volume of a sphere is calculated as: $$V = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi (3^3) = 36\pi \approx 113.10 cm^3$$ .

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

The volume of a cone is one-third the volume of a cylinder with the same base and height: $$V_{cone} = \frac{1}{3}V_{cylinder}$$ .

What is the volume of a square pyramid with a base side length of 4 cm and height of 6 cm?

The volume is calculated as: $$V = \frac{1}{3}B h = \frac{1}{3}(4^2)(6) = \frac{1}{3}(16)(6) = 32 cm^3$$ .

What is the formula for the volume of a frustum of a cone?

The volume of a frustum of a cone is given by: $$V = \frac{1}{3} \pi h (r_1^2 + r_1 r_2 + r_2^2)$$ , where r_1 and r_2 are the radii of the two bases and h is the height.

Volume of Prisms, Cylinders, Pyramids 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 cylinder?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

3.

FLASHCARD QUESTION

Front

What is the volume of a cube with side length 4 mm?

Back

4.

FLASHCARD QUESTION

Front

What is the formula for the volume of a prism?

Back

5.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 3 cm and height of 5 cm?

Back

6.

FLASHCARD QUESTION

Front

What is the volume of a cone with a radius of 2 cm and height of 6 cm?

Back

7.

FLASHCARD QUESTION

Front

What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?

Back

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