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