Question $1(10$ marks$)$

The cement silo shown in the photo stands on campus, outside the Concrete laboratory at

Engineering $4.$ The sketch shows a vertical cross section through the centre of the silo. We

want to paint the silo and fill it with cement and you need to:

a$)$ Determine the maximum volume of cement that we can store in the silo.

b$)$ Determine the volume of paint required to paint the outside surface if the paint

drums we purchased indicate that you can paint $5m^2$ with one litre of paint.

For calculation purposes, you can ignore the thickness of the metal sheet that forms the

outside surface of the silo as well as any surface imperfections and ribs sticking out of the

steel surface.

The top of the silo is a solid lid that must be painted, but the bottom is

an outlet valve that must not be painted.