The total surface area of a cylinder is 462 $c m^{2}$ . Its curved surface area is on third of its total surface area. Find the volume of the cylinder.

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Solution

TOTAL SURFACE AREA OF THE CYLINDER(TSA)=462 $c m^{2}$
CURVED SURFACE=1/3 OF TSA
=1/3 X 462
=154 $c m^{2}$
AREA OF EACH CIRCLE=(462-154)/2
=154 $c m^{2}$
$π \times R^{2}$ =154
$R^{2}$ =49
R=7
$2 π x R x H$ =154 2PIRH=154
H=154 x 7/22 x 7
H=3.5
VOLUME= $π \times R^{2} \times H$ =22/7 x 49 x 35/10
VOLUME=539 $c m^{3}$

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The total surface area of a cylinder is 462 cm2. Its curved surface area is on third of its total surface area. Find the volume of the cylinder.

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 =154 cm2 π×R2=154 R2=49 R=7 2πxRxH=154 2PI*R*H=154 H=154 x 7/22 x 7 H=3.5 VOLUME=π×R2×H =22/7 x 49 x 35/10 VOLUME=539cm3

The total surface area of a cylinder is 462 $c m^{2}$ . Its curved surface area is on third of its total surface area. Find the volume of the cylinder.