Question

Can someone please explain this problem to me: I have to use integrals to find volumes with known cross sections but i just don't understand. I have to do a lot of examples for homework like this so can someone show me so I can do my other problems? Thanks!

Consider a solid bounded by y=2ln(x) and y=0.9((x-1)^3). If cross sections taken perpendicular to the x-axis are isosceles right triangles with the hypotenuse in the base, find the volume of this solid.
Kevin showed a set of counters with all the counters red. What fraction of Kevin's set was red if he had 5 counters? What if he had 3 counters? Explain.

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