height of cone is 30cm A small cone is cut off at the top by a plane parallel to base - Maths - Surface Areas and Volumes

Question

height of cone is 30cm A small cone is cut off at the top by a
plane parallel to base If its volume is 1/27 of the given cone, at
what height above the base is the section made?

Suspense · Accepted Answer

Consider a cone of cone of radius R and H Let a cone of height h is cut off from the top of this cone whose base is parallel to the original cone Let the radius of the cone that cut off from the original cone be r

Now, PQ = H – h = 30 cm – 10 cm = 20 cm Thus, the section of the cone is mode at a height of 20 cm above the base Hope! This will help you Cheers! SOLVED BY MERITNATION EXPERT !!

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