The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder if its total surface area is

Given,


Total surface area of cylinder = 616 cm2





2h = r + h


h = r……………………….(i)


2πr (h + r) = 616


r (r + r) =


r2 =


r =


H = 7 cm


Volume of cylinder = πr2h = × 7 × 7 × 7 = 22 × 49 = 1078 cm3


10