Question: What was the 2010 census city population of the city where Van Rensselaer Island is within?

Context paragraphs:
Rensselaer, New York: Rensselaer is a city in Rensselaer County, New York, United States, and is located on the Hudson River directly opposite Albany.  As of the 2010 census, the city population was 9,392.  Rensselaer is on the west border of the county.  Earliest settlement occurred as early as 1628.  The city has a rich industrial history stretching back to the 19th century, when it became a major railroad hub, a distinction which it maintains as the location of the 14th busiest Amtrak station.  It was one of the earliest locations of the dye industry in the United States, and the first American location for the production of Aspirin.

Troy, New York: Troy is a city in the U.S. State of New York and the seat of Rensselaer County.  The city is located on the western edge of Rensselaer County and on the eastern bank of the Hudson River.  Troy has close ties to the nearby cities of Albany and Schenectady, forming a region popularly called the Capital District.  The city is one of the three major centers for the Albany Metropolitan Statistical Area (MSA), which has a population of 1,170,483.  At the 2010 census, the population of Troy was 50,129.  Troy's motto is "Ilium fuit.  Troja est", which means "Ilium was, Troy is".

White House, Tennessee: White House is a city in Robertson and Sumner counties in the United States state of Tennessee.  The population was 7,220 at the 2000 census.  It is approximately twenty-two miles north of downtown Nashville.  According to the city website a special census was conducted in 2008 that placed the city population at 9,891 residents, with 3,587 households within the city limits.  The population was 10,255 at the 2010 census which showed growth of 3,000 people from 2000 to 2010.  The 2013 population was 10,752.

Rensselaer County, New York: Rensselaer County is a county in the state of New York, in the United States of America.  As of the 2010 census, the population was 159,429.  Its county seat is Troy.  The county is named in honor of the family of Kiliaen van Rensselaer, the original Dutch owner of the land in the area.

Rensselaerville, New York: Rensselaerville is a town in Albany County, New York, United States.  The population was 1,843 at the 2010 census.  The town is named after Stephen Van Rensselaer.  The "official" hamlets are Cooksburg, Medusa, Potter Hollow, Preston Hollow, and Rensselaerville.

Stephentown, New York: Stephentown is a town in Rensselaer County, New York, United States.  The population was 2,903 at the 2010 census.  The town, which was originally Jericho Hallow in the Massachusetts Bay Colony, was renamed for Stephen Van Rensselaer.  The town is in the southeast corner of the county, and has a sign proclaiming it to be the only Stephentown on Earth.

Omer, Michigan: Omer is a city in Arenac County in the U.S. state of Michigan.  As of the 2010 census, the city population was 313.  Though self-proclaimed through signage on US 23 as "Michigan's Smallest City," it is actually the second-smallest city in the state as of the 2010 census.  The smallest city distinction as of 2010 belongs to Lake Angelus in northern Oakland County, with a population of 290.

Rensselaer Falls, New York: Rensselaer Falls is a village located in St. Lawrence County, New York, United States.  As of the 2010 census, the village had a total population of 332.  The current name came from mill owner Henry Van Rensselaer.

Van Rensselaer Island: Van Rensselaer Island was an island in the Hudson River opposite the city of Albany, New York.  Today it is within the city of Rensselaer in Rensselaer County, and has been connected to the mainland on the east side and parts of the island's west side has been dredged away.  The island has also been known as de Laet's Island, Kalebacker's Island, Boston Island and B&A Island, the last two names in reference to the Boston and Albany Railroad.  The island stretched from Mill Creek north to the Livingston Avenue Bridge.

East Greenbush, New York: East Greenbush is a town in Rensselaer County, New York, United States.  It is a suburb of Albany, New York.  The population was 16,473 at the 2010 census.  The word Greenbush is derived from the Dutch "het groen bosch," referring to the pine woods that originally covered the land.  The first settlement of the land now known as East Greenbush was made by tenants under patroon Kiliaen van Rensselaer circa 1630.  The town was established in 1855 as Clinton, and was renamed in 1858.  It is mostly suburban along its major highways and rural in the southwestern and northeastern corners.

Supporting paragraphs: Van Rensselaer Island Rensselaer, New York
Answer: 9,392