The total surface area of a cylinder is462 sq.cm.its curved surface area is 1/3 of its total surface area. Find the volume of the cylinder?

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Solution

TOTAL SURFACE AREA OF THE CYLINDER(TSA)=462CM²

CURVED SURFACE=1/3 OF TSA
=1/3 X 462
=154CM²

Total Surface areaa of a cylinder = Curved surface area + 2Area of base(circle)
462 = 154 + 2(Area of each base circle)
AREA OF EACH CIRCLE=(462-154)/2
=154CM²
PIR²=154
R²=49
R=7
2PIRH=154 (curved surface area = 2pirh)
H=1547/227
H=3.5
VOLUME=PIR²H=22/74935/10
VOLUME=539CM³

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