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## Homework Statement

Evaluate [tex] \iiint\limits_B e^{x^2 + y^2 + z ^2}dV [/tex] where [tex] B [/tex] is the unit ball.

## Homework Equations

See above.

## The Attempt at a Solution

Does this evaluate the volume of [itex] f(x, y, z) [/itex] within the unit ball (i.e. anything falling outside the unit ball is discarded)? Also, since [itex] f [/itex] is a function of three independent variables, I'm confused - wouldn't that be four dimensional?

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