A solid is in the form of a right circular cylinder, with a hemisphere at one end and a cone at the other end. The radius of the common base is 3.5 cm and the heights of the cylindrical and conical portions are 10 cm and 6 cm, respectively. Find the total surface area of the solid.

Height of cylinder (h) = 10 cm


Height of conical part = 6 cm


Slant height of cone (l) =



l = 48.25 cm


Curved surface area of cone rl


= π (3.5) (48.25)


= 76.408 cm2 …(1)


Curved surface area of cylinder = 2π rh


=2π (3.5) (10)


=220 cm2 …(2)


Curved surface area of hemisphere = 2


= 2π (3.5)2


= 77 cm2 ….(3)


Total curved surface area = Curved surface area of(cone + cylinder + hemisphere)


= 76.408 + 220 + 77


= 373.408


Total surface area of solid = 373.408 cm2


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