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yes. in scientific terms, the molecules of the basket ball are densly packed and has a fixed shape. an easy way to tell is to try to touch it. if the object in question stops your hand's progress then it is a solid. liquids and gases will allow room for your hand to move through .
A sphere is defined as a perfectly round object that is completely symmetrical about its center. Mathematically, a baseball is not a perfect sphere. It's sphere-like, but the threads break the symmetries of a true sphere.
No, baseballs are not hollow. But, depending on your definition, they may not be solid either.
At the center is a cork ball between the size of a nickel and a quarter. This cork ball has a black rubber wrapping/covering and the black rubber, in turn, has a red rubber covering. All this is wrapped with a lot of wool yarn which makes up most of the ball. Then cotton yarn is wrapped around the outside of the wool. All this is covered with the leather outer wrapping/skin that you see.