A cone holds exactly a third of the cylinder with the same base and height. So work out the cylinder and divide by three, and keep the height and the slant height apart in your head.
Not quite the one you need? Same words, different skill:
Find the volume of a cone with radius 3 and height 4
The cylinder around it would be 36 pi.
A cone is a third of that.
The answer is 12π.
Where students go wrong
Using the slant height instead of the vertical height. The slant is the longest of the three, and it belongs to surface area, not volume.
Also called cone volume or volume of cones.
Questions about these worksheets
Yes. Every volume of a cone sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the volume of a cone questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
Using the slant height instead of the vertical height. The slant is the longest of the three, and it belongs to surface area, not volume.