SMA ENCOUNTERS WX ENRTE; RADAR VECTORED TO ARPT. FAILS TO INFORM ATC OF FLYING IN SNOW.

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AT APPROX 30 MI NW OF DTW; I CONTACTED APCH AND REQUESTED VECTORS FOR A VISUAL APCH FOR LNDG. APCH INFORMED ME THAT THERE WAS SNOW ACTIVITY IN THE AREA AND THE FIELD HAD BEEN IFR EARLIER; BUT IT WAS CURRENTLY VFR. THEY ADDED THAT IF THE FIELD WENT IFR; THEY WOULD NEED ME TO HOLD OUTSIDE THE ATA FOR POSSIBLY UP TO 30 MINS. I RESPONDED THAT IT WOULD BE NO PROB FOR ME TO HOLD FOR THAT AMOUNT OF TIME. I WAS THEN GIVEN VECTORS FOR THE VISUAL APCH. THE VECTORS DIRECTED ME INTO AN AREA OF SNOW SHOWERS. I PERCEIVED THE SNOW ACTIVITY TO BE LIGHT BEFORE ENTRANCE INTO THE CONDITION. HOWEVER; AFTER ENTERING THE AREA OF SNOW ACTIVITY; I REALIZED THAT MY FORWARD VISIBILITY WAS LIMITED. I CONTACTED APCH AND TOLD THEM THAT I WAS IN A SNOW SQUALL. THEY MONITORED MY PROGRESS AND ASKED IF I HAD THE ARPT IN SIGHT AT 4 MI; 3 MI; 2 MI; AND 1 MI. AT 1 MI OUT I BROKE OUT OF THE AREA OF SNOW SHOWERS AND RPTED THE FIELD IN SIGHT. I WAS WELL OFF THE CTRLINE OF THE RWY AND COULD NOT SAFELY LAND. I DECLARED AN ABORTED LNDG. I WAS GIVEN INSTRUCTIONS TO LAND ON THE OPPOSITE RWY. I FAILED TO EFFECTIVELY TELL APCH THAT MY VISIBILITY WAS LESS THAN 3 MI. HOWEVER; THEY FAILED TO INFORM ME THAT THE ATA HAD LESS THAN 3 MI VISIBILITY.