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) commonly used in calculations?

Back

The value of π (Pi) is commonly approximated as 3.14 for calculations.

Tags

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).

Tags

CCSS.8.EE.A.2

Front

If the radius of a sphere is 5 cm, what is its volume using π = 3.14?

Back

The volume is V = (4/3) * 3.14 * (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 10 m?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3) * 3.14 * (10)³ = 4186.7 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round the volume of a sphere to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.5.NBT.A.4

Front

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

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3) * 3.14 * (3)³ = 113.1 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a volume of 14.1 m³, what is its radius?

Back

Using the formula r = (3V/(4π))^(1/3), the radius is approximately 1.57 m.

Tags

CCSS.8.EE.A.2

Front

What is the volume of a sphere with a radius of 7 cm?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3) * 3.14 * (7)³ = 1436.0 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a sphere in cubic feet?

Back

Use the same formula V = (4/3)πr³, but ensure the radius is in feet.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3