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Funnel

Age 14 to 16
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Secondary curriculum
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Funnel printable sheet
 

A plastic funnel is used to pour liquids through narrow apertures.

Have you ever tried pouring a drink from a glass back into a bottle ?

If we imagine a funnel as a complete cone (why isn't it?), what shape cone would use the least amount of plastic to manufacture a funnel containing a set volume?

You don't need a specified volume, but it may help to ask what proportion cone would hold a litre of liquid using the least amount of plastic.

See the Hint for more help.

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What is the volume of the solid formed by rotating this right angled triangle about the hypotenuse?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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