Question

Find volume of solid bounded by: cylinder (x^2+y^2=a^2), surface (z=x^2) and plane (z=0)

I wanted to find the volume by integrating int[region] dxdydz

The question is, how do I describe the region in that configuration?

Answer 1

We have :
\[\Large V=\int_Ddxdydz\]
Where :
\[\Large D=\{(x,y,z)\in\mathbb R^3, x^2+y^2\leq a^2,~ 0\leq z\leq x^2~~\}\]
As I think !