2023 volume of spheres and hemispheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

Front

What is the formula for the volume of a hemisphere?

Back

The volume V of a hemisphere is given by the formula V = (2/3)πr³, where r is the radius.

Front

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

Back

The radius r is half of the diameter, so r = 10 cm / 2 = 5 cm.

Front

How do you convert diameter to radius?

Back

To convert diameter to radius, divide the diameter by 2.

Front

What is the approximate value of π used in calculations?

Back

The approximate value of π is 3.14.

Front

Calculate the volume of a sphere with a radius of 3 m using π = 3.14.

Back

V = (4/3)π(3)³ = 113.04 m³.

Front

What is the volume of a sphere with a radius of 5 cm using π = 3.14?

Back

V = (4/3)π(5)³ = 523.33 cm³.

Front

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

Back

Using the formula V = (4/3)πr³, the radius r is approximately 6 cm.

Front

What is the relationship between radius and diameter?

Back

The diameter is twice the radius: Diameter = 2 × Radius.

Front

How do you find the volume of a sphere if you only know the diameter?

Back

First, divide the diameter by 2 to find the radius, then use the volume formula V = (4/3)πr³.