The difference between HttpCookie and Cookie?

So I'm confused as msdn and other tutorials tell me to use HttpCookies to add cookies via Response.Cookies.Add(cookie). But that's the problem. Response.Cookies.Add only accepts Cookies and not HttpCookies and I get this error:

cannot convert from 'System.Net.CookieContainer' to 'System.Net.Cookie'

Additionally, what's the difference between Response.Cookies.Add(cookie) and Request.CookieContainer.Add(cookie)?

Thanks for the help in advance, I'm trying to teach myself using C#.

// Cookie
Cookie MyCookie = new Cookie();
MyCookie.Name = "sid";
MyCookie.Value = SID;
MyCookie.HttpOnly = true;
MyCookie.Domain = ".domain.com";

// HttpCookie
HttpCookie MyCookie = new HttpCookie("sid");
MyCookie.Value = SID;
MyCookie.HttpOnly = true;
MyCookie.Domain = ".domain.com";

Response.Cookies.Add(MyCookie);