Question

The height of cone is 30cm A small cone is cut off at the top by the plane
parallel to the base if its volume is 1/27 of the volume of given cone. At
what height above the base the section is cut?

Answer 1

Answer:

Given: Height of cone = 30 cm

To find: Height above the base of section.

Formula Used:

The volume of cone =

Explanation:

Given the height of the cone, H = 30 cm

Let the small cone which is cut off at a height ‘h’ from the top.

Let the radius of the big cone be R cm, and the small cone is r cm.

The volume of the big cone,

The volume of the smaller cone,

Given according to the question,

………… (1)

Now, in ∆KCB and ∆KDM

∠CKB = ∠DKM (common)

∠KCB = ∠ KDM = 90°

∴ ∆KCB~∆KDM (by AA-similarity)

∴

Putting the value in equation (1), we have

Thus the height above the base at which the section is made = 30-10 = 20 cm

Step-by-step explanation:

hope it helps ☺☺☺

Answer 2

Answer:

Check your answer please