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

What does π (pi) represent in the context of spheres?

Back

π (pi) is a mathematical constant approximately equal to 3.14, used to calculate the circumference and area of circles and the volume of spheres.

Front

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

Back

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

Front

Calculate the volume of a sphere with a radius of 3 inches. Use 3.14 for π.

Back

V = (4/3)π(3)³ = 113.04 in³.

Front

What is the volume of a sphere with a radius of 5 feet? Use 3.14 for π.

Back

V = (4/3)π(5)³ = 523.33 ft³.

Front

How do you round the volume of a sphere to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place.

Front

What is the volume of a sphere with a radius of 2 cm? Use 3.14 for π.

Back

V = (4/3)π(2)³ = 33.51 cm³.

Front

Find the volume of a sphere with a radius of 6 inches. Use 3.14 for π.

Back

V = (4/3)π(6)³ = 904.32 in³.

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 1000 cm³, what is its radius? Use 3.14 for π.

Back

r = ((3/4)(1000/π))^(1/3) ≈ 6.83 cm.