# Resources tagged with: Spheres, cylinders & cones

### There are 11 results

Broad Topics >

3D Geometry, Shape and Space > Spheres, cylinders & cones

##### Age 7 to 16 Challenge Level:

This task develops spatial reasoning skills. By framing and asking
questions a member of the team has to find out what mathematical
object they have chosen.

##### Age 11 to 14

These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.

##### Age 11 to 14 Challenge Level:

Bilbo goes on an adventure, before arriving back home. Using the
information given about his journey, can you work out where Bilbo
lives?

##### Age 7 to 11 Challenge Level:

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

##### Age 11 to 14 Challenge Level:

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

##### Age 11 to 16

Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

##### Age 11 to 14 Challenge Level:

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

##### Age 7 to 11 Challenge Level:

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

##### Age 11 to 16 Challenge Level:

Can Jo make a gym bag for her trainers from the piece of fabric she has?

##### Age 11 to 14 Challenge Level:

What shape would fit your pens and pencils best? How can you make it?

##### Age 11 to 16 Challenge Level:

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?