Volume of Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

In calculations, π (pi) is often approximated as 3.14.

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CCSS.HSG.GMD.A.1

Front

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

Back

To find the radius r from the volume V, use the formula r = (3V/(4π))^(1/3).

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CCSS.8.EE.A.2

Front

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

Back

267.9 in³ (using π = 3.14).

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

33.5 in³ (using π = 3.14).

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a volume of 905 cm³, what is its radius rounded to the nearest whole number?

Back

6 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 8 cm?

Back

2144.7 cm³ (using π = 3.14).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

First, find the radius by dividing the diameter by 2, then use the formula V = (4/3)πr³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

1436 cm³ (using π = 3.14).

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter: r = d/2.

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CCSS.7.G.B.4