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.

Open in App

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 $c m^{3}$

Suggest Corrections

163

Similar questions

Q. The total surface area of a solid cylinder is

462 {c m}^{2}

. Its curved surface area is one-third of its total surface area. Find the volume of the cylinder.

Q. A solid cylinder has total surface area of

462 c m^{2}

. Its curved surface area is one-third of its total surface are. Find the volume of the cylinder (Take

π = \frac{22}{7}

)

A solid cylinder has total surface area of 462 $c m^{2}$ . Its curved surface area is one-third of its total surface area. Find the radius and height of the cylinder.

The total surface area of a solid cylinder is 462 CM square. if its curved surface area is one by third of the total surface area. find the volume of the cylinder

Q. The total surface area of a cylinder is

462 {c m}^{2}

and its curved surface are is

\frac{1}{3}

of its total surface area. Find the radius of the cylinder (in

c m

Join BYJU'S Learning Program

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.