A cylindrical container is $0,8$ m high and $0,35$ m in diameter contains a liquid. The level of the liquid is $0,5$ m from the base when stationary and the container is placed on a rotating base. $5\mathrm{.}1$ Find the speed of rotation $($in rpm$)$ at which the liquid will start to spill over. $(3)5\mathrm{.}2$ Find the speed of rotation $($in rpm$)$ at which the bottom becomes uncovered. $(2)5\mathrm{.}3$ Find the volume of the liquid spilt $($spilled$)$ when the bottom becomes uncovered the container.A cylindrical container is $0,8$ m high and $0,35$ m in diameter contains a liquid. The level of the liquid is $0,5$ m from the base when stationary and the container is placed on a rotating base. $5\mathrm{.}1$ Find the speed of rotation $($in rpm$)$ at which the liquid will start to spill over. $(3)5\mathrm{.}2$ Find the speed of rotation $($in rpm$)$ at which the bottom becomes uncovered. $(2)5\mathrm{.}3$ Find the volume of the liquid spilt $($spilled$)$ when the bottom becomes uncovered the container.