Seeds are dispersed from a tree in all directions uniformly. The density of seeds that land on the ground at a distance r away is approximately described by the function: s(r) = 50 sin (pi*r/10) seeds/m^2 , 0=<r=<10m
a) At what distance from the tree are the seeds most densely distributed?
b) What is the total number of seeds on the ground within a 10 m radius of the tree?
For part a, I got 5m and for part b, I got 100pi^2. I have a final exam tomorrow and I desperately want to make sure I'm doing this correctly.