A paperweight containing liquid is made up of a cone and a cylinder. The radius of the cone is 3cm with height of 4cm. The diameter is 20cm and height is 8cm.

Question

1. Calculate the total volume of the cone and cylinder when it si empty, leaving your answer in terms of pi.
2. If the liquid fills half the cylinder when placed on a flat table find the height of the liquid in the cylinder when the paper weihgt is turned upside down.

Answer 1

I was expecting the radius of the cone to be the same as the radius of the cylinder.
So the cone is partially covering the circle of the cone ?

Please clarify.

Answer 2

Sorry, the diameter of 20cm and height of 8cm is for the cylinder.