Q. 5

Answer :

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 cm^{2} …(1)

Curved surface area of cylinder = 2π rh

=2π (3.5) (10)

=220 cm^{2} …(2)

Curved surface area of hemisphere = 2

= 2π (3.5)^{2}

= 77 cm^{2} ….(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 cm^{2}

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PREVIOUSA toy is in the form of a cone surmounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. NEXTA toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5 cm and 13 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total height of the toy is 30 cm.