Determine the area of a semisphere cut by a cylinder

53 Views Asked by At

Semisphere has the ecuation $z=\sqrt{16-x^2-y^2}$ and the cylinder $x^2+(y-2)^2=4$

Should I parametrize the sphere with trig functions or leave it as $\vecΣ = (x,y,\sqrt{16-x^2-y^2})$?

How do I procced then?

Semisphere and cylinder