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Ball Packing

If a ball is rolled into the corner of a room how far is its centre from the corner?

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Three Balls

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?

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In a Spin

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