A rod has length 5m, and radius 1/sqrt(pi) m. At a distance x meters from the left end, density of the rod is given by $$\delta(x) = 4+7x $$ g/m^3

Complete a Riemann sum for the total mass of the rod.

Question

A rod has length 5m, and radius 1/sqrt(pi) m. At a distance x meters from the left end, density of the rod is given by $$\delta(x) = 4+7x  $$ g/m^3

Complete a Riemann sum for the total mass of the rod.

anonymous · Answer

I know this starts with a $$\sum$$ and that deltax is the inifinitesmal change in x. Im just not sure about the rest of this. What shape or slice do I use from x=0 to 5m? Cylinders?

anonymous · Answer

Ok no luck, how bout setting up the integral to find the mass of the rod? Any tips?