The discussion revolves around two volume problems involving integrals. The first problem involves finding the area and volume of a solid with a base defined by the curve y=1-sin(x) and cross sections that are isosceles right triangles. The second problem concerns the volume of an oil storage tank formed by revolving a curve around the y-axis, with additional questions about the rate of oil flow and depth changes.
Participants have made attempts to solve parts of the first problem and are providing feedback on each other's reasoning. Some guidance has been offered regarding the need to express answers exactly rather than as approximations. The second problem remains less clear, with participants still exploring methods and relationships between variables.
There are constraints regarding the need for exact answers in some parts, and participants are discussing the implications of using numerical approximations versus analytical solutions. The discussion also highlights the importance of understanding the setup of the problems and the definitions of the variables involved.
nns91 said:Thanks for your help