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

Using the formula $$4\text{π}r^2$$ , the surface area is $$4\text{π}(10)^2 = 400\text{π} \text{ cm}^2$$ .

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

Using the formula $$\frac{4}{3}\text{π}r^3$$ , the volume is $$\frac{4}{3}\text{π}(10)^3 = \frac{4000}{3}\text{π} \text{ cm}^3$$ .

What is the surface area of a sphere with a radius of 1 m?

Using the formula $$4\text{π}r^2$$ , the surface area is $$4\text{π}(1)^2 = 4\text{π} \text{ m}^2$$ .

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

Using the formula $$\frac{4}{3}\text{π}r^3$$ , the volume is $$\frac{4}{3}\text{π}(1)^3 = \frac{4}{3}\text{π} \text{ m}^3$$ .

What is the surface area of a sphere with a radius of 3 cm?

Using the formula $$4\text{π}r^2$$ , the surface area is $$4\text{π}(3)^2 = 36\text{π} \text{ cm}^2$$ .

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

Using the formula $$\frac{4}{3}\text{π}r^3$$ , the volume is $$\frac{4}{3}\text{π}(3)^3 = 36\text{π} \text{ cm}^3$$ .

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

Using the formula $$4\text{π}r^2$$ , the surface area is $$4\text{π}(7)^2 = 196\text{π} \text{ cm}^2$$ .

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

Using the formula $$\frac{4}{3}\text{π}r^3$$ , the volume is $$\frac{4}{3}\text{π}(7)^3 = \frac{1436}{3}\text{π} \text{ cm}^3$$ .

Spheres - Volume and Surface Area 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 5 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

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

Back

6.

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 surface area is proportional to the square of the radius.

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 volume change?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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