Just to clarify:
There is no
Flat Earth Conspiracy. NASA is not hiding the shape of the earth from anyone. The purpose of NASA is not to 'hide the shape of the earth' or 'trick people into thinking it's round' or anything of the sort.
There is a
Space Travel Conspiracy. The purpose of NASA is to fake the concept of space travel to further America's militaristic dominance of space. That was the purpose of NASA from the get-go: To put ICBMs and other weapons into space (or at least appear to). "Scientific exploration of new frontiers for all mankind" was just a front.
See this quote from president Lyndon Johnson:
"Control of space means control of the world. From space, the masters of infinity would have the power to control the earth's weather, to cause drought and flood, to change the tides and raise the levels of the sea, to divert the gulf stream and change temperate climates to frigid. There is something more important than the ultimate weapon. And that's the ultimate position. The position of total control over the Earth that lies somewhere in outer space." -President Lyndon Johnson, Statement on Status of Nation's Defense and Race for Space, January 7, 1958
One month later, Lyndon Johnson and the Senate Special Committee on Space and Astronautics drafted a resolution to change the name of the US Army's Ballistic Missile Arsenal to the National Aeronautics and Space Administration.
NASA's early rocket research was a complete failure, plagued by one disaster after another. At some point they decided to fake the space program outright.
The earth is portrayed as round in NASA media because
NASA thinks it's round. They're not running a real space program, so they wouldn't know what shape the earth truly takes. At the time of NASA's creation everyone had believed that the earth was round, so that's how they displayed it. Like everyone else, the people at NASA themselves were brainwashed with the fiction of a globe earth from the cradle, so there was no doubt in their mind as how to display it.
NASA takes high altitude imagery from the edge of the atmosphere and adds curvature to the scene make it seem like the craft is higher than it is.
Apollo was completely fabricated. A globe earth was used in scenes because that's what everyone expected to see.
NASA used a globe to represent the earth because that's what everyone of the 50's and 60's expected to see, and what they themselves would expect to see, growing up under the illusions of a Round Earth.