Question

The height of a cone is 40 cm a small cone is cut off from the top portion by a plane parallel to the base and its volume is (1/64)th of the volume of the original cone,the height from the base at which the section made is ________ cm.​

Answer 1

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Secondary School Math 8 points

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?

Ask for details Follow Report by Dhikadam1kha3nsaraj 14.03.2017

Answers

rudeawakening

rudeawakening Expert

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