Mixed Volume Practice - Cylinders, Cones & Spheres

Front

What is the formula for the volume of a cone?

Back

V = (1/3) * π * r² * h, where r is the radius and h is the height.

Front

How do you find the radius of a cone if you know the diameter?

Back

Radius (r) = Diameter (d) / 2.

Front

What is the value of π (Pi) commonly approximated as?

Back

3.14.

Front

Calculate the volume of a cone with a diameter of 8 feet and a height of 3 feet using π = 3.14.

Back

50.24 ft³.

Front

What is the volume of a sphere with a diameter of 20 centimeters?

Back

4,188.8 cm³.

Front

What is the formula for the volume of a sphere?

Back

V = (4/3) * π * r³, where r is the radius.

Front

If a cone has a height of 5 feet and a radius of 2 feet, what is its volume?

Back

V = (1/3) * π * (2)² * (5) = 20.94 ft³.

Front

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

Back

Radius = Diameter / 2.

Front

How do you round a number 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 cone with a height of 10 inches and a radius of 3 inches?

Back

V = (1/3) * π * (3)² * (10) = 31.4 in³.