We consider the initial boundary value problem for acoustic equation in time space cylinder <$EOMEGA~times~(0,~2T)> with unknown variable speed of sound, zero initial data, and mixed boundary conditions. We assume that (Neumann) controls are located at some part <$ESIGMA~times~[0,~T]>, <$ESIGMA~symbol <172>~del OMEGA> of lateral surface of the cylinder <$EOMEGA~times~(0,~T)>. The domain of observation is <$ESIGMA~times~[0,~2T]> and the pressure at another part (<$Edel OMEGA>\<$ESIGMA )~times~[0,~2T])> is assumed to be zero for any control. We prove approximate boundary controllability for functions from subspace <$EV~symbol <172>~H sup 1 ( OMEGA )> which traces have vanished on <$ESIGMA> provided that the observation time is 2T more than two acoustical radii of the domain <$EOMEGA>. We give an explicit procedure for solving Boundary Control Problem (BCP) for smooth harmonic functions from V (i.e. we are looking for a boundary control f which generates a wave u<^>f such that u<^>f (., T) approximates any prescribed harmonic function from V). Moreover using Friedrichs - Poincare inequality we obtain conditional estimate for this BCP. Notice that for solving BCP for these harmonic functions we do not need the knowledge of the speed of sound.

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