Question $1$ Figure $1$ for question $1$

A circular container with lid floats in water as shown in Figure $1.$ The container is

made of metal with a density of $7800k\frac{g}{m^3}$ and a wall thickness of $3$ mm $.$ Sand is

placed in the container, resulting in a draft of $4$ m $.$

a$)$ What is the water pressure on the outside bottom surface?

$(3$ marks$)$

b$)$ Calculate the total pressure force on the outside bottom surface.

$(3$ marks$)$

c$)$ Show the pressure distribution along a$-$b$-$c$-$d$-$e$-$f on the outside wall of the container

with the aid of pressure intensity diagrams.

$(5$ marks$)$

d$)$ Calculate the weight of the metal container.

$(3$ marks$)$

e$)$ What is the upthrust of the water on the container?

$(3$ marks$)$

f$)$ Calculate the weight of sand placed in the container?

$(3$ marks$)$

g$)$ If the container is rotated around axis A$-$B at a constant rotational speed, describe

the water motion in the vicinity of the outside container wall and explain why?

$(5$ marks$)$