The correct option is B 20 cm
Given,
Height of original cone, H=30 cm
Let, Radius of original cone =R
Height of new cone =h
Radius of new cone =r
Volume of original cone
=13πR2H=13πR2×30=10πR2 cm3
Volume of the new cone formed
=13πr2h
Given, volume of the new cone is 127 times the volume of the original cone.
⟹13πr2h=127×10πR2⟹h=3027R2r2⟹h=109(Rr)2
Also, from similarity of triangles, Rr=30h
∴h=109×(30h)2h×h2=10×9009h3=10×100h=3√10×10×10h=10 cm
The height at which the section is made is 20 cm above the base.