Volume of Cylinders, Cones, and Spheres

Front

What is the formula for the volume of a sphere?

Back

V = \frac{4}{3} \pi r^3

Front

What is the formula for the volume of a cone?

Back

V = \frac{1}{3} \pi r^2 h

Front

What is the formula for the volume of a cylinder?

Back

V = \pi r^2 h

Front

If a sphere has a radius of 5 cm, what is its volume?

Back

V = \frac{4}{3} \pi (5)^3 = 523.6 cm^3

Front

If a cone has a radius of 3 cm and a height of 10 cm, what is its volume?

Back

V = \frac{1}{3} \pi (3)^2 (10) = 94.2 cm^3

Front

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

Back

The radius is half of the diameter: r = \frac{d}{2}.

Front

How does the volume of a cone compare to that of a cylinder with the same base and height?

Back

The volume of a cone is one-third that of a cylinder: V_{cone} = \frac{1}{3} V_{cylinder}.

Front

What is the volume of a sphere with a diameter of 10 cm?

Back

V = \frac{4}{3} \pi (5)^3 = 523.6 cm^3

Front

If the height of a cylinder is doubled, how does its volume change?

Back

The volume of the cylinder also doubles.

Front

What is the volume of a cone with a radius of 4 cm and a height of 6 cm?

Back

V = \frac{1}{3} \pi (4)^2 (6) = 50.3 cm^3