Question

The total surface area of a solid cylinder is 462 cm and its curved surface area is one-third of its total surface area. Find the volume of the cylinder @DGANESH.​

Answer 1

Step-by-step explanation:

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=539CM

R

Answer 2

$\huge{\mathfrak{\red{Answer}}}$

Curved surface area = total surface area / 3.

Curved surface area = 462/3 = 154.

Rest of area = 462 - 154 = 308.

$\longrightarrow$2πr^2 = 308.

$\longrightarrow$r^2 = 308 x 7 / 44 = 49.

$\longrightarrow$r = 7.

2πrh = 154.

h = 154 / 2 x 22 = 7/2.

$\longrightarrow$Volume = πr^2 h = (22/7) x (7^2) x (7/2) = 539.

$\rm Volume = 539 cm^3$