Calculate the surface area of a cone with a radius of 4 cm and a slant height of 5 cm.

$$SA = \pi (4)(4 + 5) = \pi (4)(9) = 36\pi \approx 113.10 cm^2$$ .

What is the volume of a pyramid with a base area of 20 cm² and a height of 9 cm?

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

If a cone has a height of 10 cm and a base radius of 3 cm, what is its volume?

$$V = \frac{1}{3} \pi (3^2)(10) = 30\pi \approx 94.25 cm^3$$ .

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.

How do you calculate the area of the base of a cone?

$$A = \pi r^2$$ where r is the radius of the base.

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

$$V = \frac{1}{3} \pi (2^2)(6) = \frac{24}{3}\pi = 8\pi \approx 25.13 cm^3$$ .

What is the formula for the volume of a square pyramid?

$$V = \frac{1}{3}Bh$$ where B is the area of the square base.

Calculate the volume of a pyramid with a square base of side 4 cm and a height of 5 cm.

$$V = \frac{1}{3}(4^2)(5) = \frac{1}{3}(16)(5) = \frac{80}{3} \approx 26.67 cm^3$$ .

Cone and Pyramid Word Problems 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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

What does the 'B' in the volume formula refer to?

Back

The area of the base.

Tags

CCSS.7.G.B.6

3.

FLASHCARD QUESTION

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 5 cm.

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

What is the volume of a cone with a diameter of 10 cm and a height of 12 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

How do you find the volume of a pyramid?

Back

Tags

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

What is the surface area of a pyramid with a square base of side 6 cm and a slant height of 10 cm?

Back

Tags

CCSS.7.G.B.6

7.

FLASHCARD QUESTION

Front

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

Back

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