Volume of a Sphere

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

Front

What does the term 'volume' mean in geometry?

Back

The amount of space a 3-dimensional object takes up.

Front

What shape is defined as a perfectly round 3D object where every point on the surface is equidistant from the center?

Back

Sphere.

Front

If the radius of a sphere is 3 cm, what is its volume using π = 3.14?

Back

V = (4/3) * 3.14 * (3)³ = 113.04 cm³.

Front

What is the approximate volume of a sphere with a radius of 5 m?

Back

V ≈ 523.33 m³ using π ≈ 3.14.

Front

How does changing the radius of a sphere affect its volume?

Back

The volume increases with the cube of the radius; if the radius doubles, the volume increases by a factor of 8.

Front

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

Back

The diameter is twice the radius (d = 2r).

Front

If a sphere has a volume of 904.32 cm³, what is its radius?

Back

r ≈ 6 cm, calculated using the formula r = ((3V)/(4π))^(1/3).

Front

What is the volume of a sphere with a radius of 0?

Back

The volume is 0, as there is no space occupied.

Front

What is the 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.