There are a few home-demonstration-type indications--not proofs--that the earth is a ball.
(1) Departing boats gradually sink below the horizon, as do buildings on the shore from the viewpoint of the sailors. Admittedly this only proves the earth is round right where you are--the frisbee hypothesis.
(2) "The sphericity of the earth is proved by the evidence of ... lunar eclipses," Aristotle says. "For whereas in the monthly phases of the moon the segments are of all sorts--straight, gibbous [convex], crescent--in eclipses the dividing line is always rounded. Consequently, if the eclipse is due to the interposition of the earth, the rounded line results from its spherical shape" Of course a frisbee, properly angled, would make a round shadow too. But if the frisbee rotated while the eclipse was in progress, the curvature of its shadow would change. The earth's does not.
(3) The constellations shift relative to the horizon as you move north and south around the globe, something that could only happen if you were standing on a sphere. (You may have to draw a few diagrams to convince yourself of this.) Given sufficient world travel combined with careful observation on your part, the frisbee hypothesis becomes well-nigh insupportable. I suppose this doesn't qualify as a home experiment, but I never said science would be easy