It's shape is really not all that different from the Soyuz descent and reentry capsule [1]. The distinctive appearance comes from it having a slightly larger diameter than the suborbital booster and the lack of a fairing and LES. On Soyuz, the latter hides the shape of the spacecraft itself [2]
30. (von Tiesenhausen's Law of Engineering Design) If you want to have a maximum effect on the design of a new engineering system, learn to draw. Engineers always wind up designing the vehicle to look like the initial artist's concept.
1 https://www.nasa.gov/mission_pages/station/structure/element...
2 http://www.astronautix.com/s/soyuz7kt-ok.html