What is the volume of a sphere with a radius of 2 inches?

Use the formula: $$V = \frac{4}{3} \times \text{π} \times (2)^3 = \frac{4}{3} \times 3.14 \times 8 = 33.5 \text{ in}^3$$ .

How do you convert the diameter of a cylinder to radius?

Divide the diameter by 2: $$r = \frac{d}{2}$$ .

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

Use the formula: $$V = \frac{1}{3} \times \text{π} \times (2)^2 \times 5 = \frac{1}{3} \times 3.14 \times 4 \times 5 = 20.9 \text{ in}^3$$ .

What is the volume of a cylinder with a radius of 4 inches and a height of 10 inches?

Use the formula: $$V = \text{π} \times (4)^2 \times 10 = 3.14 \times 16 \times 10 = 502.4 \text{ in}^3$$ .

How do you find the height of a cylinder if you know the volume and radius?

Rearrange the volume formula: $$h = \frac{V}{\text{π} \times r^2}$$ .

What is the volume of a tennis ball with a diameter of 2.4 inches?

First, find the radius: r = 1.2 inches. Then use the formula: $$V = \frac{4}{3} \times \text{π} \times (1.2)^3 = 7.2 \text{ cm}^3$$ .

What is the significance of π in volume calculations?

π (pi) is a constant approximately equal to 3.14, used in formulas for circles and spheres to relate diameter and radius to area and volume.

How do you round the volume of a shape to the nearest tenth?

Look at the hundredths place: if it's 5 or more, round up; if it's less than 5, round down.

Volume of Cylinders, Cones, and Spheres 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

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

What is the formula for the volume of a sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder with a diameter of 3 inches and a height of 9 inches?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

How do you find the volume of a cone with a height of 10 inches and a radius of 3 inches?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.7.G.B.4

7.

FLASHCARD QUESTION

Front

If a sphere has a diameter of 4 inches, what is its radius?

Back

Tags

CCSS.7.G.B.4

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