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Integral - area

MensagemEnviado: Qui Mar 02, 2017 08:22
por help
Bom dia, alguma ajuda?

Acho que é para usar a fórmula arclength =  2 \pi R \frac{C}{360}
Let r be a positive constant. Consider the cylinder {x}^{2}+{y}^{2}\leq{r}^{2} and let C be the part of the cylinder that satisfies 0 \leq z \leq y.




c) Let a be the length of the arc along the base circle of C from the point (r,0,0) to the point (
Let b be the length of the line segment from the point ( to the point . Express a and b in terms of .

d) Calculate the area of the side of C with , and express it in terms of r.