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**A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig.). 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.**

Answer:

Given,

For the lower circular end, radius (r_{1}) = 10 cm

For the upper circular end, radius (r_{2}) = 4 cm

Slant height (l) of frustum = 15 cm

Now,

The area of material to be used for making the fez = CSA of frustum + Area of upper circular end

CSA of frustum = π(r_{1}+r_{2})×l

= 210π

And, Area of upper circular end = πr_{2}^{2}

= 16π

**∴ The area of material used = 226π cm ^{2}**

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