Question

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

Answer 1

total surface area of the cylinder (tsa)=462Cm²

curved surface =1/3 of TSA

=1/3×462

=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

I hope its help you
mark brainliest

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.

$\rm Volume = 539 cm^3$