Volume of a Sphere

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

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

Tags

CCSS.HSG.GMD.A.1

Front

If a sphere has a radius of 3 meters, what is its volume?

Back

V = (4/3)π(3)³ = 113.1 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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).

Tags

CCSS.8.EE.A.2

Front

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

Back

V = (4/3)π(2)³ = 33.5 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.7.G.B.4

Front

Calculate the volume of a sphere with a diameter of 10 cm. Use 3.14 for pi.

Back

First, find the radius: r = 10/2 = 5 cm. Then, V = (4/3)π(5)³ = 523.3 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = (4/3)π(1)³ = 4.19 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a volume of 268.1 m³, what is its radius?

Back

Using r = (3V/(4π))^(1/3), r ≈ 4.3 m.

Tags

CCSS.8.EE.A.2

Front

What is the volume of a tennis ball with a diameter of 14 cm? Use 3.14 for pi.

Back

First, find the radius: r = 14/2 = 7 cm. Then, V = (4/3)π(7)³ = 1436 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3