A right circular cylinder has a total surface area is 462 cm^2. Its lateral surface area is one-third the total surface area. Find the volume of the cylinder to the nearest whole number.
TOTAL SURFACE AREA OF THE CYLINDER(TSA)=462CM² CURVED SURFACE=1/3 OF TSA =1/3 X 462 =154CM² AREA OF EACH CIRCLE=(462-154)/2 =154CM² PI*R²=154 R²=49 R=7 2PI*R*H=154 H=154*7/22*7 H=3.5 VOLUME=PI*R²*H=22/7*49*35/10 VOLUME=539CM³