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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The value of π (pi) is approximately 3.14.

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CCSS.HSG.GMD.A.1

Front

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

Back

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

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CCSS.7.G.B.4

Front

Calculate the volume of a sphere with a radius of 3 cm using π = 3.14.

Back

V = (4/3)π(3)³ = 113.04 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 5 inches?

Back

V = (4/3)π(5)³ = 523.33 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a volume of 904.32 in³, what is its radius?

Back

Using the formula V = (4/3)πr³, the radius r is approximately 6.2 inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a hemisphere?

Back

The volume of a hemisphere is half the volume of a sphere: V = (2/3)πr³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a hemisphere with a radius of 4 inches.

Back

V = (2/3)π(4)³ = 107.33 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

First, find the radius: r = 10/2 = 5 cm. Then, V = (4/3)π(5)³ = 523.33 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does changing the radius affect the volume of a sphere?

Back

The volume increases with the cube of the radius; if the radius doubles, the volume increases by a factor of 8.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3