Because a Baseball is smaller you could hit it farther. This is because with less surface area, there is less friction action on the ball. With less friction acting on the ball, it means less "stuff" is holding the ball back from traveling farther, the baseball can physical travel farther than a softball.
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That depends what you are hitting them with, and how hard you are hitting them. If you hit a baseball with a baseball bat and a tennis ball with a baseball bat as hard as you can, the tennis ball would go farther. The tennis ball would go farther in most circumstances if you hit each with the same object and with the same force.
Tennis ball of course. It is less affected by air ressistance because of its proportional surface area to mass.
The tennis ball is hollow and made mostly of rubber, so it can rebound off the bat. The baseball has a rubber core, surrounded by cork and leather, so there is less of a rebound.