A frustum of a uniform solid cone has base radius `R` and height `H` as shown. Radius of top surface is `(R )/(2)`. If height of centre of mass of frustum is `(11H)/(4n)` from base then n will be.

Answer

7

Explanation

A frustum of …………

`y_(cm)=(rhoxx(1)/(3)pi(R )^(2)xx2Hxx(2H)/(4)-rhoxx(1)/(3)pi(R^(2))/(4)H(5H)/(4))/(rhoxx((1)/(3)pi(R )^(2)xx2H-(1)/(3)pi(R^(2))/(4)H))`
`= (11H)/(28) implies x = 7`