What is the volume of a cone with a radius of 4 ft and a height of 6 ft?

Using the formula $$V = \frac{1}{3} \pi r^2 h$$ , the volume is $$V = \frac{1}{3} \pi (4^2)(6) = \frac{96}{3}\pi = 32\pi \approx 100.53\ ft^3$$ .

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

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

What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

First, find the radius: r = 5 cm. Then, using the formula $$V = \pi r^2 h$$ , the volume is $$V = \pi (5^2)(7) = 175\pi \approx 549.78\ cm^3$$ .

What is the volume of a pyramid with a square base of side length 4 m and a height of 3 m?

The area of the base is B = 4 m * 4 m = 16 m². Using the formula $$V = \frac{1}{3} B \times h$$ , the volume is $$V = \frac{1}{3} (16)(3) = 16\ m^3$$ .

What is the volume of a cone with a base radius of 2 m and a height of 5 m?

Using the formula $$V = \frac{1}{3} \pi r^2 h$$ , the volume is $$V = \frac{1}{3} \pi (2^2)(5) = \frac{20}{3}\pi \approx 20.94\ m^3$$ .

What is the volume of a cylinder with a height of 10 m and a base radius of 3 m?

Using the formula $$V = \pi r^2 h$$ , the volume is $$V = \pi (3^2)(10) = 90\pi \approx 282.74\ m^3$$ .

What is the volume of a cone with a height of 9 m and a base radius of 3 m?

Using the formula $$V = \frac{1}{3} \pi r^2 h$$ , the volume is $$V = \frac{1}{3} \pi (3^2)(9) = 27\pi \approx 84.82\ m^3$$ .

Volume of Prisms/Cylinders & Pyramids/Cones Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FLASHCARD QUESTION

Front

How do you calculate the volume of a pyramid?

Back

Tags

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

If a cylinder and a cone have the same base and height, how do their volumes compare?

Back

Tags

CCSS.3.MD.A.2

5.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.3.MD.A.2

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