# Give the spherical coordinates representation of the following solids

Give the spherical coordinates representation of the following solids:

(i) Inside the sphere $\ x^2+y^2+z^2=4 \$ and outside the cylinder $\ x^2+y^2=1 \$

(ii) Inside the sphere $\ x^2+y^2+z^2=4 \$ and above the plane $\ z=3 \$

(i)

$0 \leq \rho \leq 2 \\ 0 \leq \phi \leq \frac{\pi}{4} \\ 0 \leq \theta \leq 2 \pi \$

Am I right?

Help me out

$$\rho |\sin\theta| > 1$$