2023 volume of spheres and hemispheres

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

What is the formula for the volume of a hemisphere?

Back

V = (2/3)πr³, where r is the radius.

Front

If a sphere has a diameter of 10 cm, what is its radius?

Back

The radius is 5 cm.

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2.

Front

What is the approximate value of π used in calculations?

Back

π is approximately 3.14.

Front

Calculate the volume of a sphere with a radius of 7 cm using π = 3.14.

Back

V = (4/3) * 3.14 * (7)³ = 1436.03 cm³.

Front

What is the volume of a hemisphere with a radius of 4 m using π = 3.14?

Back

V = (2/3) * 3.14 * (4)³ = 33.51 m³.

Front

What is the difference between radius and diameter?

Back

The diameter is twice the radius.

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 3 inches?

Back

V = (4/3) * 3.14 * (3)³ = 113.04 in³.