The base of a cone is the unit circle centered at the

Question

Question: The base of a cone is the unit circle centered at the origin in the xy-plane and vertex P = (a, b, c), where c > 0.

(a) Parameterize the cone.

(b) Express the surface area of the cone as an integral.

(c) Use a numerical method to find the surface area of the cone with vertex P = (2, 0, 1).