How do you calculate the volume of a hemisphere with a radius of 5 inches?

Use the formula: $$V = \frac{2}{3} \times \text{π} \times (5)^3 = 104.72 in^3$$ .

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

The radius is always half of the diameter: $$r = \frac{d}{2}$$ .

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

Using the formula: $$V = \frac{4}{3} \times \text{π} \times (3)^3 = 113.1 cm^3$$ .

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

Using the formula: $$V = \frac{4}{3} \times \text{π} \times (10)^3 = 4186.7 ft^3$$ .

How do you convert the volume of a sphere from cm^3 to in^3?

To convert from cm^3 to in^3, use the conversion factor: 1 in^3 = 16.387 cm^3.

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

Using the formula: $$V = \frac{2}{3} \times \text{π} \times (4)^3 = 33.51 cm^3$$ .

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

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

If a sphere has a volume of 904.32 ft^3, what is its radius?

Using the volume formula, rearrange to find r: $$r = igg(\frac{3V}{4\text{π}}igg)^{\frac{1}{3}}$$ .

Sphere & Hemisphere 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 radius of a sphere if you know the diameter?

Back

3.

FLASHCARD QUESTION

Front

What is the volume of a sphere with a diameter of 20 cm?

Back

4.

FLASHCARD QUESTION

Front

What is the volume of a hemisphere?

Back

5.

FLASHCARD QUESTION

Front

If a tennis ball has a diameter of 14.6 cm, what is the volume of the hemisphere?

Back

6.

FLASHCARD QUESTION

Front

What is the value of π (pi) used in calculations?

Back

The value of π (pi) is approximately 3.14.

7.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

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