A uniformly tapering vessel of height h whose lower and upper radii are r and R is completely filled with a liquid of density `rho` The force that acts on the base of the vessel due of the liquid is

Options

A. `piR^2h rho g`
B. `pi r^2 h rho g`
C. `pi((R +pi)/(2))^2 h rho g`
D. `(1)/(3)pi(R^2 - r^2)h rho g`

Answer

B

Explanation

(b) Froce = area of base xx pressure due to liquid coluum of height `h = pi r^2 xx h rho g`