Question$-1)$ We have a solid tank generated by rotating the curve $y=x^5$ between $y=0$ and $y=5$ about the $y-$axis. Suppose that this tank is filled with water to a depth of $3$ units.

Based on the given, answer the following questions :

a$)$ Draw the graph of solid of revolution generated by rotation,

b$)$ Based on the graph, specify the length of water on graph,

c$)$ Determine the volume of water in the tank,

d$)$ Determine the percentage of tank capacity that is filled by water.