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# Fill Me up Too

Imagine a conical container that contains a volume of 10cm$^3$ when filled to a height of 1cm:

What is the relationship between the height and volume as this cone is filled?

How could you draw a graph to show this?

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Age 14 to 16

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Imagine a conical container that contains a volume of 10cm$^3$ when filled to a height of 1cm:

Height | Volume |

1 | 10 |

2 | 80 |

3 | 270 |

What is the relationship between the height and volume as this cone is filled?

How could you draw a graph to show this?

A circle has centre O and angle POR = angle QOR. Construct tangents at P and Q meeting at T. Draw a circle with diameter OT. Do P and Q lie inside, or on, or outside this circle?

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