Cone volumeRadius or diameter
Name: Date:
Find the volume of each cone. Use π = 3.14.
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Volume of a cone worksheets
A cone holds exactly a third of the cylinder it fits inside. These free printable worksheets give one measurement and the height, with answers that divide cleanly.
Kid stuck on one? You don’t just get the sheet.
Volume of a cone
The answer key prints on a separate page.
What's on this sheet
The third is the whole difference from the cylinder, and it is worth showing rather than stating: a cone poured into a cylinder of the same base and height fills it in exactly three goes. A child who has seen that does not forget which way the fraction goes.
Why this sheet works
The radius-or-diameter decision matters here for the same reason it does on a cylinder, and slightly more — there is now a third to keep track of as well. Each figure names its measurement, and a sheet can be set to one kind or left mixed.
How this one works
One question from this sheet, worked through a step at a time.
A cone marked 5 cm, 15 cm tall
base × height
base:3.14 × 5 × 5 =78.5
base:78.5
78.5 × 15 =1177.5
cylinder:1177.5
3 cones fill 1 cylinder
1177.5 ÷ 3 =392.5 cubic cm
- Same idea as a box: the area of the base times how tall it is. Here the base is a circle, and that is the only difference.
- The circle's area is π × r × r = 3.14 × 5 × 5 = 78.5 square cm.
- Times the height: 78.5 × 15 = 1177.5 cubic cm. That is the CYLINDER it fits inside, not the cone yet.
- Now the part that gets forgotten. Exactly THREE cones fill the cylinder they sit inside — it is a fact about cones, not a number bolted onto a formula. So take a third: 1177.5 ÷ 3 = 392.5 cubic cm.