Cylinder and cone

Question

a right cylinder of hieght 12cm and radius 4cm is filled with water.ba heavy circular cone of height 9cm and base radius 6cm is lowered with vertex downwards and axis vertical into the cylinder until the cone rests on the rim of the cylinder find (i) the volume of the water spills over the cylinder and (ii) the height of the water in the cylinder after the cone has been removed?

Answer 1

I enjoy these types of problems!  If you want to see this problem completed, please let me know.  The answers are:

(i) 32pi cm³ is the volume of the water that spills over the cylinder, and 

(ii) 10cm is the height of the water in the cylinder after the cone has been removed

Comments

I mean I would like to see the steps by steps working of how you arrive at the answers

Answer 2

Tobiken, hello.  Here is my work done out for your question.  Please let me know if this helped you,  Thanks.