Q8 of 70 Page 19

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 =


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