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The slant height of a frustum of a cone is 4 cm and the circumferences of its circular ends are 18 cm and 6 cm. What is the curved surface area of the frustum?
  1. 48 cm2
  2. 96 cm2
  3. None of these
  4. 24 cm2


Solution

The correct option is A 48 cm2
Slant height l = 4 cm,
circumferences = 18 cm and 6 cm
Radii can be calculated as follows:
Radius=Perimeter2π
Or,R=182π=9π
and r=62π=3π
Curved surface area of frustum
=π(R+r)l
=π(9π+3π)4
=48 cm2

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