A solid cylinder has a total surface area of 231 cm². Its curved surface area is of the total surface area. Find the volume of the cylinder.

Given,

Total surface area of cylinder = 231 cm²

Curved surface area =

= 2πrh + 2πr² = 231

= 154 +2πr² = 231

= 2πr² = 77 = r² =

= r =

And , 2πrh = 154

(put value of r )

=

= height = h = 7 cm

So, volume of cylinder = πr²h =