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A fez, the cap used by the Turks, is shaped like the frustum of a cone. 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 used for making it.

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Please refer to video for the figure.
Area of material used for making fez, `A` = Curved Surface Area of frustum + Area of circular part at the top of fez
So, `A = pi**(r_1+r_2)**l +pir_2^2`
Here, `l = 15, r_1 = 10 and r_2 = 4`
Putting these values,
`A = pi(10+4)**15+pi**16=226**22/7 ~= 710.6cm^2`

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