Calculate the volume of a cone with a radius of 3 cm and a height of 9 cm.

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

Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm.

Using the formula $$V = \pi r^2 h$$ , the volume is $$V = \pi (4)^2 (10) = 160\pi\ cm^3$$ .

What is the relationship between the volume of a cone and a cylinder 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.

If the radius of a sphere is doubled, how does the volume change?

If the radius is doubled, the volume increases by a factor of eight, since volume is proportional to the cube of the radius.

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

Using the formula $$V = \pi r^2 h$$ , the volume is $$V = \pi (5)^2 (12) = 300\pi\ cm^3$$ .

What is the volume of a cone with a radius of 7 in and a height of 14 in?

Using the formula $$V = \frac{1}{3} \pi r^2 h$$ , the volume is $$V = \frac{1}{3} \pi (7)^2 (14) = 1029.33\pi\ in^3$$ .

What is the volume of a sphere with a radius of 10 cm?

Using the formula $$V = \frac{4}{3} \pi r^3$$ , the volume is $$V = \frac{4}{3} \pi (10)^3 = \frac{4000}{3}\pi\ cm^3$$ .

Volume of ain terms of pi Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

What does 'r' represent in the volume formula of a sphere?

Back

'r' represents the radius of the sphere.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

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

4.

FLASHCARD QUESTION

Front

What do 'r' and 'h' represent in the volume formula of a cone?

Back

'r' represents the radius of the base of the cone, and 'h' represents the height of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

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

6.

FLASHCARD QUESTION

Front

What do 'r' and 'h' represent in the volume formula of a cylinder?

Back

'r' represents the radius of the base of the cylinder, and 'h' represents the height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

Calculate the volume of a sphere with a radius of 6 mm.

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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