Volume of Spheres

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where V is the volume and r is the radius.

Front

Calculate the volume of a sphere with a radius of 5 m using π = 3.14.

Back

V = (4/3) * 3.14 * (5)³ = 523.33 m³.

Front

What is the volume of a sphere with a radius of 3 inches? Use π = 3.14.

Back

V = (4/3) * 3.14 * (3)³ = 113.04 in³.

Front

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

Back

The volume increases by a factor of 8.

Front

What is the volume of a sphere with a radius of 8 cm? Use π = 3.14.

Back

V = (4/3) * 3.14 * (8)³ = 2144.66 cm³.

Front

Find the volume of a sphere with a radius of 10 m using π = 3.14.

Back

V = (4/3) * 3.14 * (10)³ = 4186.67 m³.

Front

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

Back

The volume is proportional to the cube of the radius.

Front

Calculate the volume of a sphere with a radius of 2 cm using π = 3.14.

Back

V = (4/3) * 3.14 * (2)³ = 33.51 cm³.

Front

What is the volume of a sphere with a radius of 6 inches? Use π = 3.14.

Back

V = (4/3) * 3.14 * (6)³ = 904.32 in³.

Front

If a sphere has a volume of 1000 cm³, what is its radius? Use π = 3.14.

Back

r = ((3 * 1000) / (4 * 3.14))^(1/3) ≈ 6.83 cm.