What is the value of π used in volume calculations?

In volume calculations, π is often approximated as 3.14.

What is the relationship between diameter and radius?

The radius is half of the diameter: $$r = \frac{d}{2}$$ .

How do you round a number to the nearest tenth?

To round 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.

What is the significance of units in volume calculations?

Units indicate the measurement of volume, such as cubic inches (in³) or cubic centimeters (cm³), and are essential for understanding the size of the object.

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

Using the formula: $$V = \frac{1}{3} \text{πr}^2h = \frac{1}{3} \times 3.14 \times (2)^2 \times 6 = 8.4 \text{ in}^3$$ .

What is the volume of a hemisphere with a radius of 5?

Using the formula: $$V = \frac{2}{3} \text{πr}^3 = \frac{2}{3} \times 3.14 \times (5)^3 = 261.7$$ .

What is the volume of a sphere with a radius of 3 inches?

Using the formula: $$V = \frac{4}{3} \text{πr}^3 = \frac{4}{3} \times 3.14 \times (3)^3 = 113.1 \text{ in}^3$$ .

Volume of Cylinders, Cones, and Spheres 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

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

What is the formula for the volume of a hemisphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

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

6.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

If a cylindrical pool has a volume of 56520 in³ and a diameter of 60 inches, how do you find the height?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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