Cone Volume Calculator

This cone volume calculator can help in solving your math problems or can answer your weird day-to-day questions. How much ice cream fits into my cone? How much cream can I put into the pastry bag? Or what's the volume of my conical champagne glass? If these are the questions that you would like answered, keep reading!

A cone is a solid that has a circular base and a single vertex. To calculate its volume, you need to multiply the base area (area of a circle: π × r²) by height and by 1/3:

• volume = (1/3) × π × r² × h

A cone with a polygonal base is called a pyramid – see pyramid volume calculator.

Let's calculate how much water fits into the conical part of the funnel.

1. Determine the height of the cone (can be found using the slant height calculator). For our funnel, it's 4 in.
2. Enter the base radius. It may be equal to 3 in.
3. The calculator now displays the volume of the cone – in our case, it's 37.7 cu in.

Remember that you can change the units to meet your exact needs – click on the unit and select it from the list. Check out our volume converter tool if you need a simple volume unit conversion.

A truncated cone is the cone with the top cut off, with a cut perpendicular to the height. You can calculate frustum volume by subtracting the smaller cone volume (the cut one) from the bigger cone volume (base one) or use the formula:

• volume = (1/3) × π × depth × (r² + r × R + R²), where R is the radius of the base of a cone and r of the top surface radius.

An example of the volume of a truncated cone calculation can be found in our potting soil calculator, as the standard flower pot is a frustum of a cone.

An oblique cone is a cone with an apex that is not aligned above the center of the base. It "leans" to one side, similar to the oblique cylinder. The cone volume formula of the oblique cone is the same as for the right one.