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What happens to the volume of a cone when I enlarge it by a scale factor of 2, 3, 4, 5... k?
Growing Rectangles offers a good introduction to proportional relationships between length, area and volume.
There are two extension tasks suggested in the problem: analysing the inverted cone is a reasonably straightforward extension, but analysing the spherical flask is much much more challenging.
Immersion and Brimful both offer extension possibilities for considering functional relationships relating to volume.
If a ball is rolled into the corner of a room how far is its centre from the corner?
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?