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

Using the formula $$V = \frac{4}{3}\times\text{π}\times (10)^3$$ , the volume is approximately 4188.79 in³.

What is the volume of a sphere with a radius of 2.7 cm?

Using the formula $$V = \frac{4}{3}\times\text{π}\times (2.7)^3$$ , the volume is approximately 82.45 cm³.

What is the significance of the volume of a sphere in real-world applications?

The volume of a sphere is important in various fields such as physics, engineering, and architecture, especially in calculating capacities and material requirements.

What is the volume of a sphere with a radius of 8.5 cm?

Using the formula $$V = \frac{4}{3}\times\text{π}\times (8.5)^3$$ , the volume is approximately 255.5 cm³.

How do you find the volume of a sphere if you only know the diameter?

First, find the radius by dividing the diameter by 2, then use the volume formula: $$V = \frac{4}{3}\times\text{π}\times r^3$$ .

What is the volume of a sphere with a radius of 17 cm?

Using the formula $$V = \frac{4}{3}\times\text{π}\times (17)^3$$ , the volume is approximately 1975.53 cm³.

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

The surface area of a sphere is given by the formula: $$A = 4\text{π}r^2$$ .

Why is understanding the volume of a sphere important in geometry?

Understanding the volume of a sphere helps in solving problems related to three-dimensional shapes and is fundamental in geometry.

Volume of Sphere Flashcard

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15 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 the term 'radius' mean in relation to a sphere?

Back

The radius of a sphere is the distance from the center of the sphere to any point on its surface.

3.

FLASHCARD QUESTION

Front

If a sphere has a radius of 3 cm, what is its volume?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

What is the value of π (pi) approximately?

Back

The value of π (pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

5.

FLASHCARD QUESTION

Front

How do you convert the radius to diameter?

Back

Tags

CCSS.7.G.B.4

6.

FLASHCARD QUESTION

Front

What is the relationship between the radius and the volume of a sphere?

Back

The volume of a sphere increases with the cube of the radius; if the radius doubles, the volume increases by a factor of eight.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

What is the volume of a sphere with a radius of 5 inches?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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