Q1. 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 to the liquid is
1) (\pi R^2 h \rho g)
2) (\pi r^2 h \rho g)
3) (\pi\left(\frac{R+r}{2}\right) h \rho g)
4) (\frac{1}{3} \pi\left(R^2-r^2\right) h \rho g)
Q2. A triangular element of the liquid is shown in the figure. (P_x), (P_y) and (P_z) represent the pressure on the element of the liquid. Then
1) (P_x=P_y \neq P_z)
2) (P_x=P_y=P_z)
3) (P_x \neq P_y \neq P_z)
4) (P_x^2+P_y^2+P_z^2 = constant)