Question

The height of a cone is 40cm. A small cone is cut off at the top of a plane parallel to its base. If it's volume be 1/64 of the volume of given cone, at what height above the base is the second cut?

Answer 1

for original cone height = 40 radius =r
for the small cone height = h  radius =r1

now,  r1/r=h/40    h=40 x r1/ r

vol of small cone / vol of original cone  =1/64
 
through substituting values in the formula we get

r1 sq. x h /r sq. x 40 =1/64              then substitute value of h in formula 

r1 cube/ r cube = 1/64

r1/ r= 1/4

now    h=  40/ 4 = 10cm 

Answer 2

Answer:30cm

Step-by-step explanation:given in the pics