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

$$V = \frac{4}{3}\pi (3)^3 = \frac{4}{3}\pi (27) \approx 113.1 \text{ in}^3$$ .

If the volume of a sphere is 14.1 m³, what could be its radius?

Using the formula, solve for r: $$r = \sqrt[3]{\frac{3V}{4\pi}}$$ .

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

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

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

$$V = \frac{4}{3}\pi (4)^3 = \frac{4}{3}\pi (64) \approx 268.1 \text{ cm}^3$$ .

How do you convert cubic inches to cubic centimeters?

1 cubic inch is approximately 16.387 cubic centimeters.

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

$$V = \frac{4}{3}\pi (1)^3 = \frac{4}{3}\pi (1) \approx 4.2 \text{ m}^3$$ .

What is the significance of the volume of a sphere in real-world applications?

It helps in calculating capacities of spherical objects like balls, tanks, and bubbles.

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

Use the formula for surface area $$A = 4\pi r^2$$ to find r, then use $$V = \frac{4}{3}\pi r^3$$ .

...

Volume of Spheres

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.C.9, HSG.GMD.A.1, 5.NBT.A.4

Standards-aligned

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15 questions

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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

FLASHCARD QUESTION

Front

How do you calculate the volume of a sphere given its diameter?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FLASHCARD QUESTION

Front

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

Back

Pi (π) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

FLASHCARD QUESTION

Front

If a sphere has a radius of 5 cm, what is its volume?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FLASHCARD QUESTION

Front

How do you round the volume of a sphere to one decimal place?

Back

Look at the digit in the hundredths place. If it's 5 or more, round up the tenths place.

Tags

CCSS.5.NBT.A.4

FLASHCARD QUESTION

Front

What is the volume of a tennis ball with a diameter of 14 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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