Yes,a larger exposed surface area makes evaporation faster,for eg-: tea kept in a cup cools slowly than tea kept in the saucer because evaporation takes place quicker at the saucer because the saucer has a wider surface area than the cup.So the particles of tea evaporate fast hence cooling down.
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That's because evaporation occurs at the surface.
A soccer ball has a larger radius than a baseball, so it has more surface area.
Cell have a greater surface area to volume rations than a larger cell.
They grow
the larger the surface area you have, to more heat that you are going to lose.