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

Student preview

15 questions

Show all answers

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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