Question

the height of a cone is 60cm a small cone is cut off at the top by a plane parallel to the base and its volume is 1 upon 64th the volume of original cone
find the height from the base at which the section is made

Answer 1

The volume is decreased by 1/64th ie. (1/4)^3 ....(Relation1) 
Volume has its measure measurement in cubes,which means evry unit of height nd radius yields to a cubic measurement ........(relation2) 

From Rel1&Rel2, we can fairly deduce that height is decreased to 1/4 
i.e. 1/4 x 60=15 

Now since its from base,required answer is 60-15= 45cm