# Triple integrals, Find Volume

HclGuy

## Homework Statement

Find the volume of the solid bounded above by $$\rho$$=1+cos$$\varphi$$ and below by $$\rho$$=1

## The Attempt at a Solution

I already solved it but was comparing my answer to my professor's solution, I was wondering why when he did the integration, his limits for $$\rho$$ were from 0 to 1, wouldn't the limits for rho be 1 to 1+cos$$\varphi$$? Thanks

$$\int\int_0^\pi\int_0^1\rho^2\sin\varphi d\rho d\varphi d\theta$$
I was just wondering why his limits for $$\rho$$ were from 0 to 1. I thought it would be from 1 to 1+cos$$\varphi$$