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 value of π (pi) used in volume calculations?

Back

Use 3.14 for π in calculations.

Front

How do you calculate the volume of a hemisphere?

Back

V = (2/3)πr³, where r is the radius.

Front

If the radius of a sphere is 3 meters, what is its volume?

Back

V = (4/3)π(3)³ = 36π ≈ 113.1 m³.

Front

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

Back

V = (4/3)π(5)³ = 523.3 m³.

Front

How do you round a volume to the nearest tenth?

Back

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

Front

What is the volume of a sphere with a radius of 2 inches?

Back

V = (4/3)π(2)³ = (32/3)π ≈ 33.5 in³.

Front

If a hemisphere has a radius of 4 meters, what is its volume?

Back

V = (2/3)π(4)³ = (128/3)π ≈ 134.0 m³.

Front

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

Back

V = (4/3)π(7)³ = (1436/3)π ≈ 1507.9 cm³.

Front

How do you find the volume of a sphere given its diameter?

Back

First, find the radius (r = diameter/2), then use V = (4/3)πr³.