Everybody thinks that they are spheres, of course, They're both round and not flat disks. The way the Earth works in lunar eclipses shows that it's round too, and I doubt that it's a flat disk in exception to them.
The Sun ranges from the tropics of Cancer and Capricorn and then the equator between and the Moon ranges from the north and south nodes where eclipses occur at the nodes of a new moon. It's like two circle hoops with a nail, or two opposite nails, fastened in to them, and they rotate up or down a little into a vertical or third plane. They don't stay on the same flat plane. Their motions imply and show sphericity in space.
The heliocentric freaks from ʝʊdɛօ-Masonic controlled NASA, who have never landed on the Moon or Mars and lie about Pluto and just about everything else, while they scam the country out of money and laugh about it, those people think the Earth's an "oblate spheroid" due to lateral forces from "gravity". Another falsehood. The Earth is a perfect sphere not an "oblate spheroid" and "gravity" doesn't represent lateral forces anyway. There aren't any lateral forces from so-called "gravity", there aren't any "gravity kicks" for their rockets, and the Earth is not moving to orbit the Sun anyway in the first place.