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

How do you calculate the radius from the diameter of a sphere?

Back

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

Tags

CCSS.7.G.B.4

Front

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

Back

V = (4/3) × 3.14 × (5)³ = 523.33 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 inches?

Back

V = (4/3) × π × (10)³ = 4186.67 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

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

Back

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

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

V = (4/3) × π × (3)³ = 113.1 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

If the radius is doubled, the volume increases by a factor of 8, since volume is proportional to the cube of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the approximate volume of a sphere with a radius of 7 cm using π = 3.14?

Back

V = (4/3) × 3.14 × (7)³ ≈ 1436.76 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a diameter of 12 inches?

Back

First, find the radius: r = 12/2 = 6 inches. Then, V = (4/3) × π × (6)³ ≈ 904.32 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3