Spheres, cylinders and cones

There are 32 NRICH Mathematical resources connected to Spheres, cylinders and cones
Gym Bag
problem

Gym Bag

Age
11 to 16
Challenge level
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Can Jo make a gym bag for her trainers from the piece of fabric she has?
Cylinder Cutting
problem

Cylinder Cutting

Age
7 to 11
Challenge level
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An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
Fill Me Up Too
problem

Fill Me Up Too

Age
14 to 16
Challenge level
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In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Which solid?
problem

Which solid?

Age
7 to 16
Challenge level
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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.
Pack Man
problem

Pack Man

Age
16 to 18
Challenge level
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A look at different crystal lattice structures, and how they relate to structural properties
Immersion
problem

Immersion

Age
14 to 16
Challenge level
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Various solids are lowered into a beaker of water. How does the water level rise in each case?
Packing 3D shapes
problem

Packing 3D shapes

Age
14 to 16
Challenge level
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What 3D shapes occur in nature. How efficiently can you pack these shapes together?
Funnel
problem

Funnel

Age
14 to 16
Challenge level
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A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?
Cola Can
problem

Cola Can

Age
11 to 14
Challenge level
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An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?