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Question
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, then find the area of material used for making it.
Solution
We have,
Radius of open side, R = 10 cm,
Radius of upper base, r = 4 cm and
slant height, l = 15 cm
Now,
The area of material used =π (R + r)l +πr2
`= 22/7xx(10+4)xx15+22/7xx4xx4`
`= 22/7xx14xx15+22/7xx4xx4`
`= 22/7xx(14xx15+4xx4)`
`= 22/77xx226`
`=4972/7 cm"`
≈ 710.28 cm2
So, the area of material used for making the fez is 710.28 cm2.
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