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

If the radius is tripled, the volume increases by a factor of 27, since it is proportional to the cube of the radius.

What is the relationship between the radius and the surface area of a sphere?

The surface area of a sphere increases with the square of the radius, as described by the formula $$4\text{π}r^2$$ .

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

The volume of a sphere increases with the cube of the radius, as described by the formula $$\frac{4}{3}\text{π}r^3$$ .

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

The volume is $$\frac{4}{3}\text{π}(1)^3 = \frac{4}{3}\text{π} \text{ cm}^3$$ .

How do you find the radius of a sphere if you know its surface area?

To find the radius from the surface area, use the formula $$r = \frac{\text{sqrt}(A/4\text{π})}$$ .

How do you find the radius of a sphere if you know its volume?

To find the radius from the volume, use the formula $$r = \text{cube root}(\frac{3V}{4\text{π}})$$ .

What is the surface area of a sphere with a radius of 10 cm?

The surface area is $$4\text{π}(10)^2 = 400\text{π} \text{ cm}^2$$ .

surface area and volume of spheres Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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

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 sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FLASHCARD QUESTION

Front

How do you calculate the surface area of a sphere with a radius of 5 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

How do you calculate the volume of a sphere with a radius of 3 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

What is the surface area of a sphere with a radius of 7 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

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

Back

If the radius is doubled, the surface area increases by a factor of 4, since it is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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