What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?
use 3.14 to approximate pi and express your answer in hundredths.

For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is , the volume of a pyramid/cone is .

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is where r is the radius.


We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.



Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.



We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.