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

Using the formula @@V = rac{4}{3} imes ho^3 $$, the volume is $$ V = rac{4}{3} imes 1^3 = rac{4}{3} ext{ m}^3@@.

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

Using the formula @@A = 4 imes ho^2 imes ext{π} $$, the surface area is $$ A = 4 imes 10^2 imes ext{π} = 400 ext{π cm}^2@@.

If the volume of a sphere is 113.1 m³, what is its radius?

Using the formula @@V = rac{4}{3} imes ho^3 $$, solve for $$ ho $$: $$ ho = igg(rac{3V}{4 ext{π}}igg)^{rac{1}{3}}@@.

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

Using the formula @@V = rac{4}{3} imes ho^3 $$, the volume is $$ V = rac{4}{3} imes 6^3 = 144 ext{ cm}^3@@.

If a sphere has a diameter of 10 cm, what is its radius?

The radius is half of the diameter: @@ ho = rac{d}{2} = rac{10}{2} = 5 ext{ cm}@@.

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

Using the formula @@V = rac{4}{3} imes ho^3 $$, the volume is $$ V = rac{4}{3} imes 7^3 = rac{4}{3} imes 343 = 457.33 ext{ m}^3@@.

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 volume of a sphere?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

If the radius of a sphere is 5 m, what is its surface area?

Back

5.

FLASHCARD QUESTION

Front

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

Back

The diameter of a sphere is twice the radius: @@d = 2 imes ho@@.

6.

FLASHCARD QUESTION

Front

How do you convert the radius of a sphere to its volume?

Back

To find the volume, use the formula @@V = rac{4}{3} imes ho^3@@, substituting the radius value.

7.

FLASHCARD QUESTION

Front

What is the surface area of a sphere with a radius of 2 m?

Back

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