volume of prism radius of 3 height of 9

use 3.14 for pie do not round

To find the volume of a prism, you use the formula:

Volume = Base Area x Height

For a prism with a cylindrical base (like this one), the base area is the area of the circular base.

The formula for the area of a circle is:

Area = πr^2

Given that the radius (r) is 3 and using π = 3.14, we can calculate the area of the base:

Area = 3.14 x 3^2
Area = 3.14 x 9
Area = 28.26

Now, we can calculate the volume of the prism:

Volume = Base Area x Height
Volume = 28.26 x 9
Volume = 254.34

Therefore, the volume of the prism with a radius of 3 and a height of 9 is 254.34 cubic units.