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 diameter of 20 cm, what is its radius?

Back

10 cm

Front

Calculate the volume of a sphere with a radius of 10 cm.

Back

V = \frac{4}{3} \pi (10)^3 = 4188.8 cm³

Front

Calculate the volume of a cone with a radius of 6 cm and a height of 12 cm.

Back

V = \frac{1}{3} \pi (6)^2 (12) = 452.16 cm³

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

V = \pi (5)^2 (10) = 785.4 cm³

Front

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

Back

The volume of a cone is one-third that of a cylinder.

Front

What is the volume of a cylinder with a diameter of 20 feet and a height of 3 feet?

Back

942 cubic feet

Front

If the radius of a sphere is doubled, how does its volume change?

Back

The volume increases by a factor of 8.