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

Volume increases with the cube of the radius: if r doubles, V increases by 8 times.

What is the volume of a sphere with a radius of 2.5 m?

$$V=\frac{4}{3}\pi (2.5)^3 = 65.45 m^3$$ .

What is the volume of a hemisphere with a radius of 6 cm?

$$V=\frac{2}{3}\pi (6)^3 = 75.4 cm^3$$ .

What is the volume of a sphere with a radius of 1 m?

$$V=\frac{4}{3}\pi (1)^3 = 4.19 m^3$$ .

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

$$V=\frac{2}{3}\pi (5)^3 = 52.36 ft^3$$ .

What is the volume of a sphere with a radius of 7 inches?

$$V=\frac{4}{3}\pi (7)^3 = 1436.76 in^3$$ .

What is the volume of a sphere with a radius of 8 cm?

$$V=\frac{4}{3}\pi (8)^3 = 2144.66 cm^3$$ .

Volume of Spheres Practice Flashcards

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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

2.

FLASHCARD QUESTION

Front

How do you find the volume of a hemisphere?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

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

Back

The volume increases by a factor of 8, since volume is proportional to the cube of the radius.

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the volume of a hemisphere with a radius of 4 inches?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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