Volume of a Sphere

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

If a sphere has a radius of 3 inches, what is its volume?

Back

V = (4/3)π(3)³ = 36π ≈ 113.1 in³.

Front

What is the volume of a sphere with a radius of 5 feet?

Back

V = (4/3)π(5)³ = 500/3π ≈ 523.6 ft³.

Front

Identify the shape: A perfectly round object with all points on its surface equidistant from its center.

Back

Sphere.

Front

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

Back

V = (4/3)π(7)³ ≈ 1436.76 in³.

Front

How does the volume of a sphere change if the radius is doubled?

Back

The volume increases by a factor of 8, since V is proportional to r³.

Front

What is the volume of a sphere with a radius of 10 cm?

Back

V = (4/3)π(10)³ ≈ 4188.79 cm³.

Front

If the volume of a sphere is 904.32 ft³, what is its radius?

Back

r = ((3V)/(4π))^(1/3) = 6.2 ft.

Front

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

Back

Volume increases with the cube of the radius.

Front

What is the volume of a sphere with a radius of 4 meters?

Back

V = (4/3)π(4)³ ≈ 268.08 m³.