  # Find the Volume of a Cone

In this worksheet, students will learn the formula for finding the volume of a cone and be able to apply it. Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Volume and Surface Area Calculations

Difficulty level:   #### Worksheet Overview We all like an ice cream cone, the bigger the better! To find out how much ice cream we can get into a cone so that it is level with the top, we need to work out the volume.

As ever with shape questions, there is a formula to help us: It can be a bother having to learn so many formulas, but let us look at this closely.

A cone has a circular shape, so the formula for finding an area of a circle is in it:  π x radius x radius

Now we want to cram as much ice cream into this cone as possible, so we are very interested in its height.

So far we have π x radius² x height

This just leaves us with the first part of the formula to learn which is 1/3.

One way to remember this is that there are 3 things to do already, I just have to remember 1 more!

When working with the volume of more complex shapes, use the π button on your calculator because it will use π to so many decimal places.  If you use 3.142 or 3.14, answers may differ slightly.

Let's get started. Find the volume of this cone.

Just beware of a few things to look out for:

Sometimes you are given the diameter of the cone, remember to halve it to get the radius.

Sometimes you are given two heights, a slanted height and a vertical height. You always work with the vertical height when finding the volume.

Volume is always measured in units³

The beauty of this is that you can just put the whole thing into your calculator in one go:

The radius is half of the diameter: 3 cm and the height is 11 cm.

1 ÷ 3 x π x 3²  (or 3 x 3) x 11 = 103.67 cm²   (rounded to 2 decimal places or 2 d.p)

Now let's try some questions.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started 