Question

A heavy hollow cone of radius R and height h is placed on a horizontal table surface, with its flat base on the table. The whole volume inside the cone is filled with water of densityρ. the circular rim of the cone’s base has a watertight seal with the table’s surface and the top apex of the cone has a small hole. Neglecting atmospheric pressure find the total upward force exerted by water on the cone is

(A) (2/3)πR² hρg

B) (1/3)πR² hρg 

(C) πR² hρg 

(D) None

Answer 1

Correct option: (A) (2/3)πR² hρg

Explanation:

By force diagram of liquid :

Hence upward force exter on come by water is 2/3 ρR² hg.