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?
A right circular cone is filled with liquid to a depth of half its vertical height.