The total pressure on the top of a closed cylindrical vessel of radius (r) completely filled up with liquid of specific weight (w) and rotating at ($$\omega $$) rad/s about its vertical axis, is

A. $$\frac{{\pi {\text{w}}{\omega ^2}{{\text{r}}^2}}}{{4{\text{g}}}}$$

B. $$\frac{{\pi {\text{w}}{\omega ^2}{{\text{r}}^3}}}{{4{\text{g}}}}$$

C. $$\frac{{\pi {\text{w}}{\omega ^2}{{\text{r}}^4}}}{{4{\text{g}}}}$$

D. $$\frac{{\pi {\text{w}}{\omega ^2}{{\text{r}}^2}}}{{2{\text{g}}}}$$

Answer: Option A