The 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

If the radius of a sphere is halved, how does the volume change?

Back

The volume decreases by 87.5%.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The diameter d is twice the radius r, so d = 2r.

Front

Calculate the volume of a sphere with a radius of 5 cm. Round to one decimal place.

Back

The volume is 523.6 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 cm?

Back

The volume is approximately 3.14 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does the volume of a sphere change if the radius is tripled?

Back

The volume increases by a factor of 27.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume is approximately 113.1 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a volume of 0.288 π in³, what is its radius?

Back

The radius is approximately 0.3 inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What happens to the volume of a sphere if the radius is increased by 50%?

Back

The volume increases by 178.5%.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume is approximately 268.1 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3