J J Science Academy

1. 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) $\frac{1}{3} \pi\left(R^2-r^2\right) h \rho g$
2. 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
Question Image
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) $P_x^2+P_y^2+P_z^2 = constant$