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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a sphere with a radius of 4 inches using π = 3.14?

Back

V = (4/3) * 3.14 * (4)³ = 267.9 in³.

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

If the radius of a hemisphere is 4 inches, what is its volume?

Back

V = (2/3) * π * (4)³ = 42.67π in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the approximate volume of a sphere with a radius of 10 cm using π = 3.14?

Back

V = (4/3) * 3.14 * (10)³ = 4186.67 cm³.

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.

Tags

CCSS.5.NBT.A.2

Front

What is the volume of a sphere with a radius of 5 feet using π = 3.14?

Back

V = (4/3) * 3.14 * (5)³ = 523.33 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of using 3.14 for π in volume calculations?

Back

Using 3.14 for π provides a simple approximation for calculations, especially in educational settings.

Tags

CCSS.HSG.GMD.A.1

Front

How do you find the volume of a sphere if the diameter is given instead of the radius?

Back

First, divide the diameter by 2 to get the radius, then use the volume formula V = (4/3)πr³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a scoop of ice cream with a radius of 2 inches using π = 3.14?

Back

V = (4/3) * 3.14 * (2)³ = 33.5 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3