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Question

# The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum(in cm2).

A

56

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B

40

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C

52

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D

48

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Solution

## The correct option is D 48 Slant height of a frustum of a cone = l =4 cm Perimeter of its first circular end =18 cm Perimeter of its second circular end =6 cm Curved Surface Area of frustum of the cone = π.(r1+r2)l = (π.r1+π.r2)l=(2π.r1+2π.r2)l2=(18+6)4/2=48cm2

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