Find the external surface area, Mathematics

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A shuttlecock used for playing badminton has the shape of a frustum of a Cone mounted on a hemisphere.  The external diameters of the frustum are 5 cm and 2 cm, and the height of the entire shuttlecock is 7cm.   Find the external surface area.(Ans: 74.26cm2)

Ans: r1 = radius of lower end of frustum = 1 cm

r2   = radius of upper end = 2.5 cm

l = 2181_equ..png= 6.18 cm

External surface area of shuttlecock = π (r1 + r2) l + 2π r2 1

On substituting we get,   = 74.26 cm2

 

 


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