A cylindrical roller gate of diameter $6.0$ $\mathrm{m}$ and length $10.0$ $\mathrm{m}$ is placed on a dam to store water behind it, as shown in figure.
The magnitude of the resultant force due to water acting on that gate when the water is about to spill is $\_\_\_\_$ $\times 10^{6} \mathrm{~N}$ (rounded off to two decimal places).
Consider acceleration due to gravity $(g)=9.81 \mathrm{~m} / \mathrm{s}^{2}$; density of water $(\rho)=1000 \mathrm{~kg} / \mathrm{m}^{3}$; and $\pi=3.14$.
