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प्रश्न
A fez, the cap used by the Turks, is shaped like the frustum of a cone (see the figure given below). If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material use for making it. [use π=22/7]
उत्तर
Radius (r2) at upper circular end = 4 cm
Radius (r1) at lower circular end = 10 cm
Slant height (l) of frustum = 15 cm
Area of material used for making the fez = CSA of frustum + Area of upper circular end
`= pi(r_1+r_2)l + pir_2^2`
= π (10 + 4) 15 + π (4)2
= π (14) 15 + 16 π
`= 210pi + 16pi = (226xx22)/7`
`= 710 2/7 cm^2`
Therefore, the area of material used for making it is `710 2/7 cm^2`
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